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Fraction Revision

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Things you need to know about fractions... Finding Fractions of Amounts Equivalent Fractions and cancelling down Top Heavy Fractions and Mixed Numbers Adding and Subtracting Fractions Multiplying Fractions Dividing Fractions Fractions and Decimals Fractions and Percentages Ordering Fractions Click this to get back here Things you should know These are REALLY important

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Finding Fractions of Amounts 3535 If you are asked for of an amount Find by dividing by 5 and then find by multiplying by 3. To find of 60: 60 ÷ 5 = 12 12 x 3 = 36 1515 3535 3535 3535 of 60 is 36

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Finding Fractions of Amounts 2727 If you are asked for of an amount Find by dividing by 7 and then find by multiplying by 2. To find of 35: 35 ÷ 7 = 5 5 x 2 = 10 1717 2727 2727 2727 of 35 is 10

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Finding Fractions of Amounts 5959 If you are asked for of an amount Find by dividing by 9 and then find by multiplying by 5. To find of 63: 63 ÷ 9 = 7 5 x 7 = 35 1919 5959 5959 5959 of 63 is 35

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Finding Fractions of Amounts A quick way to remember what to do is: Divide by the bottom, times by the top

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Fractions of Amounts 10 multiple choice questions, work out your answer then click to see if you were right

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30 15 40 6 What is.. 1 2 of 60 A)B) C)D)

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1520 124 What is.. 1 4 of 60 A)B) C)D)

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12 69 8 What is.. 1 3 of 36 A)B) C)D)

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1416 1812 What is.. 1 4 of 56 A)B) C)D)

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33 1311 21 What is.. 3 6 of 66 A)B) C)D)

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7566.6666 2580 What is.. 3 4 of 100 A)B) C)D)

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6020 1535 What is.. 3 5 of 100 A)B) C)D)

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25 4550 80 What is.. 1 8 of 200 A)B) C)D)

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140 80 120 100 What is.. 20 40 Of 280 A)B) C)D)

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7049 7481 What is.. 7 9 of 90 A)B) C)D)

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Multiplying Fractions To multiply simply times the numbers at the top, then times the numbers at the bottom, you may have to simplify 3434 5858 x = 15 32 2727 5656 x = 10 42 3535 7979 x = 21 45 = = 7 15 5 21

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Simplify before multiplying 6767 5656 x = 1x5 7x1 1 1 = 5757 4545 3838 x = 1x3 5x2 1 2 = 3 10 4949 6767 x = 4x2 3x7 3 2 = 8 21 This will help with division too, do it after the keep, change flip bit

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Dividing Fractions To divide remember KEEP, CHANGE, FLIP -KEEP the first fraction -CHANGE the multiply sign to divide -FLIP the second fraction 3434 5858 ÷ = 24 20 3434 x 8585 ==1 4 20 or 1 1515 1212 7878 ÷ = 8 14 1212 x 8787 == 4747 4747 3434 ÷ = 16 21 4747 x 4343 =

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Equivalent Fractions

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Three friends each have 12 sweets Abbie puts hers into 4 piles and eats 2 of them Abbie has had 2/4 Libby puts hers into 2 piles and eats 1 of them Libby has had 1/2 Chrissy puts hers into 6 piles and eats 3 of them Chrissy has had 3/6 They all eat 6 sweets 2/4, ½ and 3/6 look different but these fractions are all the same, they are EQUIVALENT

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Are these fractions EQUIVALENT ? 8 24 12 36 1 3 1 3 ÷8 ÷12 Simplify the fractions Look for the biggest number that goes into the top and bottom of the fractions Divide by the number These fractions are equivalent

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Are these fractions EQUIVALENT ? 8 10 12 16 4 5 3 4 ÷2 ÷4 Simplify the fractions Look for the biggest number that goes into the top and bottom of the fractions Divide by the number These fractions are NOT equivalent

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Are these fractions EQUIVALENT ? 9 12 21 28 3 4 3 4 ÷3 ÷7 Simplify the fractions Look for the biggest number that goes into the top and bottom of the fractions Divide by the number These fractions are equivalent

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What number goes here? 15 20 32 40 3 4 4 5 ÷5 ÷8

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What number goes here? 2 3 1 5 8 24 9 45 X8 X9

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Equivalent Fractions 10 multiple choice questions. Work out your answer then click to see if you were right

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A)B) C)D) 1212 2828 3939 4848 4 10 Which fraction is equivalent to....

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A)B) C)D) 1313 4 12 3939 4848 5 20 Which fraction is equivalent to....

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A)B) C)D) 1414 7 21 5 16 3 10 4 16 Which fraction is equivalent to....

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A)B) C)D) 1 10 4 44 3 30 Which fraction is equivalent to.... 4 44

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A)B) C)D) 3434 15 20 Which fraction is equivalent to.... 18 20 12 20 16 20

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A)B) C)D) 2525 6 15 Which fraction is equivalent to.... 6 25 8 22 12 35

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A)B) C)D) 5656 30 36 Which fraction is equivalent to.... 15 24 35 36 10 18

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A)B) C)D) 4949 16 36 Which fraction is equivalent to.... 12 54 16 81 8 27

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A)B) C)D) 5757 30 42 Which fraction is equivalent to.... 10 2135 15 28

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A)B) C)D) 9 11 63 77 Which fraction is equivalent to.... 27 22 63 88 45 44

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Cancelling fractions down It is often best to have the numbers possible when we write fractions Instead ofwe would have We have cancelled the fractions down, by dividing top and bottom numbers by the same number (in this case 4) 12 20 3535

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15 35 24 36 55 66 = = = 3737 2323 5656 Divide by 5 Divide by 12 Divide by 11

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Cancelling fractions down If we pick the biggest number possible to divide by we only have to cancel down once. We must always check that there are no more numbers which go into the top and bottom number When there are no more numbers which go into the top and bottom of the fraction, the fraction is FULLY SIMPLIFIED or CANCELLED DOWN FULLY

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Cancelling Fractions 10 multiple choice questions

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A)B) C)D) 12 15 4545 3535 3434 2525 Cancel completely

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A)B) C)D) 4848 2828 1313 1212 1414 Cancel completely

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A)B) C)D) 7 21 1313 3737 1818 1717 Cancel completely

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A)B) C)D) 15 25 4545 3434 5656 3535 Cancel completely

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A)B) C)D) 28 32 7 14 7878 4646 14 16 Cancel completely

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A)B) C)D) 27 36 3434 3535 5757 6868 Cancel completely

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A)B) C)D) 24 60 2525 3838 2727 1515 Cancel completely

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A)B) C)D) 55 66 5656 8989 6767 4646 Cancel completely

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A)B) C)D) 48 64 3434 4646 3535 2323 Cancel completely

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A)B) C)D) 56 72 7979 1212 2525 6767 Cancel completely

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Mixed numbers and top heavy fractions When you see a fraction with a large number in front of it, this is a MIXED NUMBER. 2 2323 This mean, 2 and 2 thirds When we have a fraction where the number at the top (NUMERATOR) is bigger than the number at the bottom (DENOMINATOR) we have a TOP HEAVY FRACTION 5353 8484 9292

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Mixed numbers and top heavy fractions You need to be able to: turn MIXED NUMBERS into TOP HEAVY FRACTIONS turn TOP HEAVY FRACTIONS into MIXED NUMBERS

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Top heavy fractions to mixed numbers 14 3 How many 3s go into 14?4 What is the remainder?2 So we can make 4 wholes and we have 2 thirds left over: 4 2323 14 3 =

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Top heavy fractions to mixed numbers 19 5 How many 5s go into 19?3 What is the remainder?4 So we can make 3 wholes and we have 4 fifths left over: 3 4545 19 5 =

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Top heavy fractions to mixed numbers 31 10 How many 10s go into 31?3 What is the remainder?1 So we can make 3 wholes and we have 1 tenth left over: 3 1 10 31 10 =

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Mixed Numbers to Top heavy fractions To turn the mixed numbers into top heavy fractions: 3 1 10 31 10 = Multiply these numbers together= Add on the number at the top= 30 31 (this will be the top number) The number at the bottom will stay the same

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Mixed Numbers to Top heavy fractions To turn the mixed numbers into top heavy fractions: 5 3434 23 4 = Multiply these numbers together= Add on the number at the top= 20 23 (this will be the top number) The number at the bottom will stay the same

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Mixed Numbers to Top heavy fractions To turn the mixed numbers into top heavy fractions: 6 2525 32 10 = Multiply these numbers together= Add on the number at the top= 30 32 (this will be the top number) The number at the bottom will stay the same

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Top heavy fractions 10 multiple choice questions

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8383 22 3 7373 4343 A)B) C)D) 2 2323 =

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19 5 17 5 12 5 34 5 A)B) C)D) 3 4545 =

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9292 8282 4242 12 2 A)B) C)D) 4 1212 =

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53 5 13 4 50 5 35 5 A)B) C)D) 10 3535 =

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19 3 18 3 9393 6363 A)B) C)D) 6 1313 =

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31 92 A)B) C)D) 10 3 = 1313 1313 1313 9393

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7 8 9 6 A)B) C)D) 57 8 = 1818 2828 3838 1818

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3 4 4 3 A)B) C)D) 15 4 = 3434 1414 1414 3434

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21 210 A)B) C)D) 21 10 = 1212 11 10 11 20 1 10

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5 45 6 A)B) C)D) 26 5 = 1515 6565 1515 1515

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Fractions and Percentages Think of percentages as fractions with 100 as the denominator so, 17 % = 32 % = 88 % = 17 100 32 100 88 100

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Fractions and Percentages Some fractions can be simplified 25 % = 55 % = 30 % = 25 100 55 100 30 100 1414 11 20 3 10 = = =

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Fractions and Percentages To turn a fraction into a percentage you need to use what you know about equivalent fractions. Turn your fraction into an equivalent fraction over 100. 12 20 60 100 x5 60%

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Fractions and Percentages To turn a fraction into a percentage you need to use what you know about equivalent fractions. Turn your fraction into an equivalent fraction over 100. 7 10 70 100 x10 70%

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Fractions and Percentages Sometimes you need to simplify the fraction first. 14 35 40 100 x20 40% 2 5 =

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Fractions and Percentages Sometimes you need to simplify the fraction first. 26 40 65 100 x5 65% 13 20 =

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60%70%8%27%80% 1414 33 100 51 100 4545 1515 Practise Questions, click to show answers

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Fractions to Percentages 10 multiple choice questions, work out your answer then click to see if you were right

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50% 20% 40% 100% A)B) C)D) Convert this fraction to a percentage 1212

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25%40% 2%4% A)B) C)D) Convert this fraction to a percentage 1414

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10%100% 20%1% A)B) C)D) Convert this fraction to a percentage 1 10

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20% 2%15% 5% A)B) C)D) Convert this fraction to a percentage 1515

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75% 80%12% 45% A)B) C)D) Convert this fraction to a percentage 3434

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21% 0.21%2.1% 210% A)B) C)D) Convert this fraction to a percentage 21 100

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40%4% 10%44% A)B) C)D) Convert this fraction to a percentage 4 10

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60% 6% 80% 15% A)B) C)D) Convert this fraction to a percentage 3535

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1%100% 0.110%0.1% A)B) C)D) Convert this fraction to a percentage 1 100

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33.333333.. %13% 11%3% A)B) C)D) Convert this fraction to a percentage 1313

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Adding and Subtracting Fractions Two rulers add three rulers is: Four pens add five pens is: 9 pens 5 rulers Two pens add Five rulers is: We cant so this until we have a name that describes both groups 7 Pieces of equipment When we add fractions we need them to have the same name

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Adding and Subtracting Fractions 2727 3737 5757 + = 2929 4949 6969 + = 1 11 3 11 4 11 + =

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Adding and Subtracting Fractions 2727 3737 5757 + = 2929 4949 6969 + = 5 11 3 11 2 11 - =

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Adding and Subtracting Fractions We need to make sure the denominator of both fractions is the same before we add or subtract 2525 3 10 7 10 + = 3 10 += 4 We need a number in the 5 and 10 times table to use as our bottom number- 10?

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Adding and Subtracting Fractions We need to make sure the denominator of both fractions is the same before we add or subtract 1313 5 12 9 12 + = 5 12 += 4 We need a number in the 3 and 12 times table to use as our bottom number- 12?

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Adding and Subtracting Fractions We need to make sure the denominator of both fractions is the same before we add or subtract 2525 3636 27 30 + = + = 12 We need a number in the 5 and 6 times table to use as our bottom number- 30? 15

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Adding and Subtracting Fractions We need to make sure the denominator of both fractions is the same before we add or subtract 7878 2323 5 24 - = 24 -= 21 We need a number in the 8 and 3 times table to use as our bottom number- 24? 16

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Adding and Subtracting Fractions a)7/8 b)8/12 c)7/9 d)7/10 e)2/3 a)11/12 b)7/10 c)8/15 d)16/12 or 1 ¼ e)11/24 a)1 7/12 b)1 5/56 c)29/30 d)29/52 e)1 1/10 a)5/8 b)5/12 c)1/3 d)2/5 e)1/2 a)7/20 b)8/21 c)23/36 d)9/22 e)71/126 Click for answers

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Fractions and Decimals To turn fractions into decimals and decimals into fractions we need to remember column names 000.000 Hundreds TensUnitsTenthsHundredthsThousandths

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Decimals to Fractions 0.03 is 3 hundredths 3 100 Tenths Hundredths 0.5 is 5 tenths 5 10 Tenths

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Decimals to Fractions 0.12 is 12 hundredths 12 100 Tenths Hundredths 0.01 is 1 hundredth 1 100 TenthsHundredths

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Decimals to Fractions 0.032 is 32 thousandths 32 1000 Tenths Hundredths Thousandths 0.154 is 154 thousandths 154 1000 Tenths Hundredths Thousandths Dont forget you may have to simplify

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Fractions to Decimals 7 10 64 100 152 1000 = = = 0.7 0.64 0.152 3 100 =0.03 53 1000 = 0.053 2 1000 = 0.002 000.000 Hundreds Tens Units TenthsHundredths Thousandths

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Fractions to Decimals You can also turn fractions into decimals by dividing the top number by the bottom number either with a calculator or any other method you may know

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Ordering Fractions To order fractions you need to know all about equivalent fractions

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Its difficult to order fractions when they have different denominators 1212 1414 3535 3 10 11 20 What number is in the 2,4,5,10 and 20 times table, we need a common multiple 20?

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Make all fractions have 20 as a denominator 1212 1414 3535 3 10 11 20 Now order them 10 20 5 20 15 20 6 20 11 20 5 20 6 20 10 20 11 20 15 20

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What denominator do we need now? 1313 4646 2525 5 12 5656 Now order them 20 60 40 60 24 60 25 60 50 60 20 60 24 60 25 60 40 60 50 60

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Ordering Fractions- click for answers ANSWERS 1.1/4 3/8½ and 4/83/4 2.2/5½3/5 and 6/102/29 3.1/35/121/14/63/4 4.1/41/22/35/67/8 5.1/42/51/26/103/4 6.1/34/91/22/35/6 7.2/61/45/122/37/9 8.2/72/45/811/143/2

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FractionPercentageDecimal 1/250%0.5 1/425%0.25 3/475%0.75 1/520%0.2 1/1010%0.1 1/1001%0.01 Things you should know The top number of a fraction is the NUMERATOR The bottom number of a fraction is the DENOMINATOR

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