Adding Fractions with the Same Denominator

Show your work for each problem.

1.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
Add the numerators: . Keep the denominator 5. Answer:
2.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
, so . Simplified:
3.
Calculate . Write your answer as a fraction (e.g., 5/7).
Answer: 5/7
. The denominator stays 7. Answer:
4.
What is ? Write your answer as a simplified fraction.
Answer: 1/2
, giving . Simplified:
5.
Solve step by step.
Answer: 5/6
1. What is the denominator of both fractions? 6
2. Add the numerators: 2 + 3 = ? 5
3. Write the sum as a fraction over 6. 5/6
6.
A recipe needs cup of flour and cup of sugar. How much total?
1. a) cup
2. b) cup
3. c) cup
4. d) cup
Answer: cup
cup total
7.
What is ?
1. a)
2. b)
3. c)
4. d)
Answer:
(simplified)
8.
Calculate . Simplify your answer.
Answer: 9/10
. Answer: (already in simplest form)
9.
What is ? Write as a mixed number.
Answer: 1 1/3
(simplified)
10.
Solve step by step. Give the simplified answer.
Answer: 1
1. Add the numerators: 3 + 5 = ? 8
2. Write the fraction: 8 over 8 = ? 8/8
3. What does 8/8 equal? 1
11.
Emma ate of a cake. Her brother ate . How much did they eat together?
Answer: 5/8
1. What fraction did Emma eat? 2/8
2. What fraction did her brother eat? 3/8
3. Add: 2/8 + 3/8 = ? 5/8
12.
Calculate . Write your answer as a mixed number in simplest form.
Answer: 1 1/4
13.
What is ? Simplify.
Answer: 1
, so
14.
Leo walked km in the morning and km in the afternoon. How far did he walk?
1. a) km
2. b) km
3. c) km
4. d) km
Answer: km
km
15.
Add . Simplify your final answer.
Answer: 1 1/3
1. Add the numerators: 11 + 9 = ? 20
2. Write as fraction: 20/15. Convert to mixed number. 1 5/15
3. Simplify 5/15. 1/3
4. Final answer? 1 1/3
16.
A tank is full. Then more water is added. What fraction is now full?
Answer: 3/5
1. What was the initial level? 3/20
2. How much water was added? 9/20
3. Add: 3/20 + 9/20 = ? 12/20
4. Simplify 12/20. 3/5
17.
Add . What is the answer as a mixed number?
Answer: 1 2/9
1. Add all numerators: 2 + 5 + 4 = ? 11
2. Write the fraction over 9. 11/9
3. Convert 11/9 to a mixed number. 1 2/9
18.
Maria read of a book on Monday and on Tuesday. What fraction has she read? Simplify.
Answer: 3/4