Word Problem: Fractions - 1

Q.1. Find the sum.
(3/4) + (3/4) = ____

Ans: (1(1/2))
Sol: (3/4) + (3/4) = (3 + 3)/4 = 6/4.
6/4 = 3/2 after simplifying by 2.
3/2 written as a mixed number is (1(1/2))

Q.2. Find the sum.
(23/100) + (54/100) = ____

Ans: 77/100
Sol: (23/100) + (54/100) = (23 + 54)/100 = 77/100.
77/100 is already in simplest form.

Q.3. Find the sum.
(4/6) + (4/6) = ____

Ans: 1 1/3
Sol: (4/6) + (4/6) = (4 + 4)/6 = 8/6.
8/6 simplifies to 4/3 after dividing numerator and denominator by 2.
4/3 as a mixed number is 1 1/3.

Q.4. Find the sum.
(7/11) + (7/11) = ____

Ans: 1 3/11
Sol: (7/11) + (7/11) = (7 + 7)/11 = 14/11.
14/11 is an improper fraction; as a mixed number it is 1 3/11 because 14 = 11 + 3.

Q.5. Find the sum.
(1/3) + (1/3) = ____

Ans: 2/3
Sol: (1/3) + (1/3) = (1 + 1)/3 = 2/3.
2/3 is already in simplest form.

Q.6. Find the sum.
(8/16) + (10/16) = ____

Ans: 1 1/8
Sol: (8/16) + (10/16) = (8 + 10)/16 = 18/16.
18/16 simplifies to 9/8 after dividing top and bottom by 2.
9/8 as a mixed number is 1 1/8.

Q.7. Find the sum.
(3/13) + (7/13) = ____

Ans: 10/13
Sol: (3/13) + (7/13) = (3 + 7)/13 = 10/13.
10/13 is already in simplest form.

Q.8. Find the sum.
(5/7) + (6/7) = ____

Ans: 1 4/7
Sol: (5/7) + (6/7) = (5 + 6)/7 = 11/7.
11/7 as a mixed number is 1 4/7 because 11 = 7 + 4.

Q.9. Find the sum.
(6/9) + (1/9) = ____

Ans: 7/9
Sol: (6/9) + (1/9) = (6 + 1)/9 = 7/9.
7/9 is already in simplest form.

Q.10. Find the sum.
(18/50)  + (42/50) = ____

Ans: 1 1/5
Sol: (18/50) + (42/50) = (18 + 42)/50 = 60/50.
60/50 simplifies to 6/5 after dividing by 10.
6/5 as a mixed number is 1 1/5.