1. Today we will review “Fractions”
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2. Let’s Warm up:. 1) 0.32 + 4 -3.23 =1.09 2) 3.6 ÷ 2 x 5 =9
4) ÷ 9 =10
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3. Representing Fractions
Fraction: A number that names part of a whole or part of a group.
¼ means 1 part of 4 parts, where 4 parts is the whole or group.
Denominator: The number below the bar in a fraction.
Fraction: 4
5  denominator
Numerator: The number above the bar in a fraction.
Fraction: 4  numerator 5
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4. Representing Fractions
4 parts shaded
7 parts in all
4/7 shaded
Parts shaded -> 4 -> numerator
parts in all > 7 -> denominator
2 parts shaded
5 parts in all
2/5 shaded
Parts shaded -> 2 -> numerator
parts in all > 5 -> denominator
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5. Your Turn! Complete to write a fraction for the part that is shaded.
3/4
4/5
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6. Equivalent Fractions & Simplest Form
Equivalent Fractions: Two or more fractions that name the same number.
3 = 6  Equivalent Fractions
4 8
Use Fraction Models
Equivalent Fractions for
Fraction piece used
Number of pieces
Equivalent Fraction 4 3 2
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7. Equivalent Fractions & Simplest Form
To find equivalent fractions multiply the numerator and denominator by 1
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8. Equivalent Fractions & Simplest Form
Find simplest form (of 4/12)
Step 1: Find the common factors
Factors of 4: 1, 2, 4
Factors of 12: 1, 2, 3, 4, 6, 12
Common factors: 2 and 4
Step 2: Divide the numerator and the denominator by the greatest common factor
The simplest form of 4/12 is 1/3
Divide by 4/4 to simplify. 4/4 =1, so the value of the fraction doesn’t change.
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9. Your Turn! Write each fraction in the simplest form. 7/21 = 1/3
2/10 = 1/5
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10. Comparing Fractions
Use Models
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11. Comparing Fractions
Use a Number Line
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12. Comparing Fractions Use Paper and Pencil
You can write equivalent fractions with the same denominator
Since 4 multiplied by 2 is 8, you can multiply by 1 in the form of 2/2
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13. Ordering Fractions
Step 1: Write each fraction as an equivalent fraction with the same denominator
Step 2: Compare the numerators. Put the fractions in order from least to greatest.
Example: Order ½, ¼, and 3/8 from least to greatest
Step1: Write equivalent fractions with the same denominator. Change them all to eights.
Compare the numerators. 4 is the greatest and 2 is the least
Order from least to greatest is ¼, 3/8, 1/2
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14. Your Turn! Write >, <, or =. ¼ __ ¾ <
Order from least to greatest. ¼, 1/8, ½.
¼ = 2/8, 1/8, ½ = 4/8
1/8, ¼, ½
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15. Mixed Numbers
Mixed Number: A number named by a whole number and a fraction.
A mixed number is greater than 1
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16. A whole number is a number without a fraction.
Improper Fractions
Improper Fraction: A fraction with a numerator that is greater than or equal to the denominator.
Rename a mixed number
Example: Write 1 ¼ as an improper fraction
Step 1: Rename the whole number as a fraction.
1 = 4/4
Step 2: Add the fractions.
4/4 + ¼ = 5/4
A whole number is a number without a fraction.
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17. Improper Fractions Rename a Fraction
Example: Write 7/4 as an improper fraction
Step 1: Rename the whole number as a fraction.
4/4 = 1 whole
7/4 - 4/4 = ¾
1 ¾
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18. Your Turn!
Rename each as a mixed number, improper fraction, or fraction in simplest form.
8/7 = 1 1/7
1 1/3 = 4/3
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19. Fractions, decimals, percents
Percent means per hundred; It is another way of naming part of a whole.
The grid shows that 25 out of 100 squares are blue.
25% of the grid is blue
As a fraction, 25 out of 100 = 25/100 = ¼
As a decimal; 25 out of 100 = 25 hundredths = 0.25
25% = 25/100 = 0.25
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20. Add with like denominators
Step 1: Add the numerators
Step 2: Use the common denominator
Step 3: Write the sum in simplest form
Example: Find: 1/8 + 1/8 + 1/8
1/8 + 1/8 + 1/8 = 3/8
The Greatest Common Factor of 3 and 8 is 1, so 3/8 is already in simplest form
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21. Your Turn! Add. Write each sum in simplest form.
1/10 + 1/10 = 2/10 = 1/5
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22. Subtract with like denominators
Step 1: Subtract the numerators
Step 2: Use the common denominator
Step 3: Write the difference in simplest form
Example: Find ¾ - ¼
¾ - ¼ = 2/4
¾ - ¼ = 2/4
2 ÷ 2 = ½
4 ÷ 4
Divide the numerator and the denominator by the Greatest Common Factor
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23. Your Turn! Subtract. Write the difference in simplest form.
7/10 – 5/10 = 2/10 = 1/5
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24. Add with unlike denominators
Step 1: Find equivalent fractions with a common denominator
Step 2: Add the numerators. Write the sum above the common denominator
Step 3: Write the sum in the simplest form
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25. Your Turn! Add. Write in simplest form.
7/8 + ¼ = 7/8 + 2/8 = 9/8 = 1 1/8
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26. Subtract with unlike denominators
Step 1: Find equivalent fractions with a common denominator
Step 2: Subtract the numerators. Write the sum above the common denominator
Step 3: Write the sum in the simplest form
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27. Your Turn! Subtract. Write the difference in simplest form.
7/8 – 3/8 = 4/8 = 1/2
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28. Multiplication of proper fraction & whole number
Step 1: Multiply the numerator with the whole number
Step 2: Simplify the fraction
Find ½ x 4
1 x 4 = 4
4/4 1
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29. Your Turn!
Multiply 1/3 x 7 = 7/3 = 2 1/3
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30. Let us take a break!
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31. Let us see how fast you are on this one!
Game
Let us see how fast you are on this one!
Click me
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32. Assessment Write a fraction for the part that is shaded.
1/4
Write the fraction 9/54 in the simplest form.
1/6
Order from least to greatest 1/8, 2/4, 5/8
1/8, 2/4, 5/8
Rename as a improper fraction, or fraction in simplest form.
2 2/3 = 8/3
Write equivalent decimal and percent for the fraction 30/100
0.30; 30%
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33. Assessment Add 1/7 + 3/7 = 4/7 Subtract 5/6 – 4/6 = 1/6
Multiply 3/5 x 4= 12/5 = 2 2/5
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34. Good Job!
You have learned a lot today!!!
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