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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 = x 3 = 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 = 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 = 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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What is of 60 A)B) C)D)

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What is of 60 A)B) C)D)

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What is of 36 A)B) C)D)

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What is of 56 A)B) C)D)

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What is of 66 A)B) C)D)

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What is of 100 A)B) C)D)

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What is of 100 A)B) C)D)

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What is of 200 A)B) C)D)

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What is Of 280 A)B) C)D)

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What is 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 x = x = x = = =

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Simplify before multiplying x = 1x5 7x1 1 1 = x = 1x3 5x2 1 2 = 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 ÷ = x 8585 == or ÷ = x 8787 == ÷ = 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 ÷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 ? ÷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 ? ÷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? ÷5 ÷8

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What number goes here? 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) Which fraction is equivalent to....

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A)B) C)D) Which fraction is equivalent to....

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A)B) C)D) Which fraction is equivalent to....

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A)B) C)D) Which fraction is equivalent to

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A)B) C)D) Which fraction is equivalent to

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A)B) C)D) Which fraction is equivalent to

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A)B) C)D) Which fraction is equivalent to

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A)B) C)D) Which fraction is equivalent to

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A)B) C)D) Which fraction is equivalent to

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A)B) C)D) Which fraction is equivalent to

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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)

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= = = 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) Cancel completely

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A)B) C)D) Cancel completely

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A)B) C)D) Cancel completely

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A)B) C)D) Cancel completely

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A)B) C)D) Cancel completely

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A)B) C)D) Cancel completely

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A)B) C)D) Cancel completely

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A)B) C)D) Cancel completely

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A)B) C)D) Cancel completely

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A)B) C)D) 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 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

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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: =

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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: =

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Top heavy fractions to mixed numbers 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: =

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Mixed Numbers to Top heavy fractions To turn the mixed numbers into top heavy fractions: = Multiply these numbers together= Add on the number at the top= (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: = Multiply these numbers together= Add on the number at the top= (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: = Multiply these numbers together= Add on the number at the top= (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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A)B) C)D) =

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A)B) C)D) =

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A)B) C)D) =

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A)B) C)D) =

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A)B) C)D) =

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

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A)B) C)D) 57 8 =

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A)B) C)D) 15 4 =

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A)B) C)D) =

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A)B) C)D) 26 5 =

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

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Fractions and Percentages Some fractions can be simplified 25 % = 55 % = 30 % = = = =

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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 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 x10 70%

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

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Fractions and Percentages Sometimes you need to simplify the fraction first x5 65% =

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60%70%8%27%80% 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

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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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%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 = = =

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Adding and Subtracting Fractions = = =

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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 = = 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 = = 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 = + = 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 = 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 Hundreds TensUnitsTenthsHundredthsThousandths

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

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

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

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Fractions to Decimals = = = = = = 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 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 Now order them

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What denominator do we need now? Now order them

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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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