## Fractions and Decimal Practice Questions

**1. Solve 2/3 + 5/12**

a. 9/17

b. 3/11

c. 7/12

d. 1 1/12

**2. 3/5 + 7/10**

a. 1 1/10

b. 7/10

c. 1 3/10

d. 1 1/12

**3. 1/4 + 11/16**

a. 9/16

b. 1 1/16

c. 11/16

d. 15/16

**4. 7/15 – 3/10**

a. 1/6

b. 4/5

c. 1/7

d. 1 1/3

**5. 17/23 – 15/23**

a. 2

b. 1/11

c. 2/13

d. 2/23

**6. 15/16 x 8/9**

a. 5/6

b. 16/37

c. 2/11

d. 5/7

**7. 3/4 x 5/11**

a. 2/15

b. 19/44

c. 3/19

d. 15/44

**8. 5/8 ÷ 2/3**

a. 15/16

b. 10/24

c. 5/12

d. 1 2/5

**9. 2/15 ÷ 4/5**

a. 6/65

b. 6/75

c. 5/12

d. 1/6

**10. 11/20 ÷ 9/20**

a. 99/20

b. 4 19/20

c. 1 2/9

d. 1 1/9

**Answer Key **

**1. D**

A common denominator is needed, number which both 3 and 12 will divide into. So, 8+5/12 = 13/12 = 1 1/12

**2. C
**A common denominator is needed, number which both 5 and 10 will divide into. So, 6+7/10 = 13/10 = 1 3/10

**3. D**

A common denominator is needed, number which both 4 and 16 will divide into. So, 4+11/16 = 15/16

**4. A**

A common denominator is needed, number which both 15 and 10 will divide into. So 14-9/30 = 5/30 = 1/6

**5. D**

Since the denominators are the same, we can just subtract the numerators, so 17-15/23 = 2/23

**6. A**

Since there are common numerators and denominators to cancel out, we cancel out 15/16 x 8/9 to get 5/2 x 1/3, and then we multiply numerators and denominators to get 5/6

**7. D
**Since there are no common numerators and denominators to cancel out, we simply multiply the numerators and then the denominators. So 3 x 5/4 x 11 = 15/44

**8. A**

To divide fractions, we multiply the first fraction with the inverse of the second fraction. Therefore we have 5/8 x 3/2, = 15/16

**9. D**

To divide fractions, we multiply the first fraction with the inverse of the second fraction. Therefore we have 2/15 x 5/4, (cancel out) = 1/3 x ½ = 1/6

**10. C
**11/20 x 20/9 = 11/1 x 1/9 = 11/9 = 1 2/9

Written by:

**Modified: ** May 5th, 2018

**Published: ** May 13th, 2014

for number 1, how does 13/12= 11/12 ?

yes you are correct – it appears to be 11/12 but is 1 1/12 (no space)!