Fractions

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Fractions

How to add or subtract fractions:

Step 1: Get a common denominator. (This means the bottom numbers of both fractions needs to be the same.) To get a common denominator you can use the Least Common Denominator method or simply multiply each fraction by the denominator of the other. Feel free to watch the video for a more in depth explanation.

Step 3: Add/Subtract top numbers—bottom stays the same

Step 4: Reduce. This means to divide the top and bottom by the same number so that the fraction is in its lowest form.

This video explains how to obtain a common denominator.

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¾ + ½

a. 1¼

b. 1⅛

c. 1¾

d. 2½

e. 2¼

3/5 + 2/3

a. 2⅛

b. 1⅝

c. 1 4/15

d. 1 7/15

e. 2 4/15

1⅛ - ¾

a. 5/8

b. 3/8

c. 1⅛

d. 7/8

e. 1½

2 5/6 + 3 1/7

a. 5 41/42

b. 5½

c. 6 3/8

d. 6 1/8

e. 5 4/5

4 1/19 - 3 7/8

a. 1 151/152

b. 2 41/152

c. 1⅛

d. 1½

e. 27/152

28 - 5 5/6

a. 21 5/6

b. 22 1/6

c. 22 5/6

d. 23 5/6

e. 21 7/8

34 + 5 6/13

a. 40 6/13

b. 29 6/13

c. 40 1/2

d. 39 6/13

e. 43 7/13

15 1/2 - 27 1/7

a. 11 9/14

b. -11 1/2

c. -10 9/14

d. -11 9/14

e. -12 7/16

38 2/3 + 58 2 /7

a. 95 20/21

b. 96 20/21

c. 96 3/7

d. 95 21/22

e. 96 7/22

5 2/9 - 8 2/7

a. -4 4/63

b. -3 5/72

c. -3 4/63

d. -2 11/63

e. -2 5/9

How to multiply fractions:

Step 1: Make sure numbers are in fractional form and not mixed numbers. Convert if necessary. A mixed number is a whole number and a fraction together like 1½. To convert a mixed number to a fraction multiply the whole number times the bottom number and then add the top value. The bottom of the fraction will remain the same. 1½ = 3/2

Step 3: Multiply tops and multiply bottoms.

Step 4: Simplify by reducing the numbers and converting your answer back to a mixed number.

This video explains how to multiply fractions.

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1/4 x 1 1/3

a. 1/2

b. 1/3

c. 1/12

d. 2/7

e. 1 2/7

5 2/9 x 8 2/7

a. 43 17/63

b. 40 16/63

c. 42 9/16

d. 45 1/2

e. 40 16/63

3/4 x 2/9 x 14/27

a. 4/5

b. 84/91

c. 10/91

d. 19/42

e. 7/81

2 1/2 x 2/3

a. 1 1/3

b. 2 3/4

c. 1 7/8

d. 1 2/3

e. 1 1/3

4 1/2 x 5 1/4

a. 24 1/2

b. 20 3/4

c. 23 5/8

d. 22 4/5

e. 23 7/8

30/37 x 2 2/3

a. 2 6/37

b. 3 7/37

c. 4 1/2

d. 2 8/41

e. 3 3/5

13 5/6 x 4 3/5

a. 63 21/30

b. 65 7/8

c. 63 19/30

d. 65 3/5

e. 62 7/9

2 3/5 x 7 2/5

a. 20 2/3

b. 19 1/5

c. 14 1/5

d. 14 6/25

e. 19 6/25

11 1/2 x 3 5/9

a. 34 5/7

b. 33 5/18

c. 39 7/9

d. 40 8/9

e. 41 2/3

2 6/7 x 5 7/8

a. 16 7/13

b. 16 11/14

c. 16 5/9

d. 15 13/14

e. 16 9/14

How to divide fractions:

Step 1: Make sure numbers are in fractional form and not mixed numbers. Convert if necessary.

Step 2: Change the sign to multiply and flip the second fraction over.

Step 3: Multiply tops and multiply bottoms.

Step 4: Simplify.

This video demonstrates the division of fraction.

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2/3 ÷ 1/3

a. 3

b. 2

c. 2½

d. 3¼

e. 2¾

1 ¼ ÷ 2 ½

a. 2¾

b. 1½

c. 1

d. ½

e. ¾

2 ¾ ÷ ½

a. 5½

b. 4½

c. 3¾

d. 2¼

e. 6¼

4 1/5 ÷ 2 1/3

a. 3⅛

b. 2⅜

c. 1 4/5

d. 1 4/7

e. 1¾

9 ÷ 3 ½

a. 3 1/2

b. 4 4/7

c. 2 3/8

d. 3 4/7

e. 2 4/7

9 2/3 ÷ 5

a. 4 4/5

b. 3 1/2

c. 1 14/15

d. 3 13/15

e. 2 7/8

5 5 /8 ÷ 6 2/3

a. 27/32

b. 29/33

c. 1 2/3

d. 12/25

e. 3 23/25

25 ¼ ÷ 12 ½

a. 2 17/40

b. 1 1/40

c. 2 1/2

d. 2 1/50

e. 3 1/3

17 3/4 ÷ 3 ½

a. 5 1/3

b. 5 1/14

c. 4 3/5

d. 4 3/14

e. 5 2/7

9 3/4 ÷ 14 1/2

a. 41/67

b. 1 3/5

c. 39/58

d. 37/60

e. 2/5

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