Solved Questions on Addition of Like Fractions with Same Denominator
1. What is the result when 33/5 is added with 21/5?
a) 54/5
b) 53/5
c) 56/5
d) 57/5
Answer: a) 54/5
Explanation: When adding fractions with the same denominator, we add the numerators while keeping the denominator the same.
Thus, 33/5 + 21/5 = 54/5.
2. What is the result of addition of 73/8 and 15/8?
a) 8
b) 11
c) 12/8
d) 13/8
Answer: b) 11
Explanation: When adding fractions with the same denominator, we add the numerators while keeping the denominator the same.
Thus, 73/8 + 15/8 = 88/8 = 11.
3. Add: 23/9 and 25/9?
a) 41/9
b) 42/9
c) 45/9
d) 48/9
Answer: d) 48/9
Explanation: When adding fractions with the same denominator, we add the numerators while keeping the denominator the same.
Thus, 23/9 + 25/9 = 48/9.
4. In a school, 4/3 of the students wear glasses, and 1/3 of the students wear contact lenses. What fraction of the students wear either glasses or contact lenses?
a) 5/3
b) 5/6
c) 22/24
d) 5/12
Answer: a) 5/3
Explanation: To find the fraction of students wearing either glasses or contact lenses, we need to add the fractions 4/3 and 1/3.
The common denominator is 3, so 4/3 + 1/3 = 5/3.
5. John has 3/8 of a pizza and Sarah has 4/8 of a pizza. What fraction of the pizza do they have in total?
a) 13/8
b) 11/8
c) 7/8
d) 9/8
Answer: c) 7/8
Explanation: To find the total fraction of the pizza we need to add the fractions 3/8 and 4/8.
The common denominator is 8, so 3/8 + 4/8 = 7/8.
Practice Questions on Addition of Like Fractions with Same Denominator
1. What is the sum of 11/4 and 13/4?
a) 1
b) 2
c) 4
d) 6
Answer: d) 6
2. What is the sum of 21/13 and 17/13?
a) 19/13
b) 28/13
c) 38/13
d) 49/13
Answer: c) 38/13
3. Calculate 11/2 + 23/2 + 37/2?
a) 68/2
b) 71/2
c) 78/2
d) 81/2
Answer: b) 71/2
4. What is the sum of 19/14 and 16/14?
a) 35/14
b) 36/14
c) 38/14
d) 42/14
Answer: a) 35/14
5. Find the sum of 7/12 and 8/12?
a) 19/12
b) 13/12
c) 14/12
d) 15/12
Answer: d) 15/12
6. Sara baked 3/8 of a cake, and Ali baked 5/8 of a cake. What fraction of the cake did they bake together?
a) 1/2
b) 1/8
c) 1
d) 7/8
Answer: c) 1
7. In a pizza eating contest, Amy ate 7/12 of a pizza, and Ben ate 5/12 of a pizza. How much pizza did they eat in total?
a) 1
b) 1/3
c) 19/12
d) 57/12
Answer: a) 1
8. A car travelled 3/7 of the distance, and a motorcycle travelled 4/7 of the same distance. What fraction of the total distance did they cover together?
a) 2/7
b) 1/7
c) 1
d) 37/7
Answer: c) 1
9. Mary bought a piece of fabric that was 2/3 yards long. She later bought another piece that was 7/3 yards long. What was the total length of the fabric she bought?
a) 3/2
b) 3
c) 5/3
d) 8/3
Answer: b) 3
10. A chef used 7/5 cups of flour for a recipe and 1/5 cup of sugar. How much flour and sugar did the chef use in total?
a) 11/5
b) 1
c) 7/5
d) 8/5
Answer: d) 8/5
