Date: May 14, 2023

# Adding Fractions with Different Denominators Worksheet Test

## Part 1: Identifying the Common Denominator

For Questions 1-5, identify the least common denominator (LCD) for the given fractions.

Question Fractions
1 1/2, 1/3
2 2/5, 1/6
3 3/4, 5/6
4 1/8, 3/10
5 2/3, 4/9

## Part 2: Converting Fractions to the Common Denominator

For Questions 6-10, convert the fractions to their equivalent fractions with the LCD.

Question Fractions
6 1/3, 1/6 (LCD: 6)
7 2/5, 1/10 (LCD: 10)
8 3/8, 5/12 (LCD: 24)
9 1/4, 3/5 (LCD: 20)
10 2/3, 4/7 (LCD: 21)

## Part 3: Adding Fractions with Different Denominators

For Questions 11-15, add the given fractions.

Question Fractions
11 1/2 + 1/3
12 2/5 + 1/6
13 3/4 + 5/6
14 1/8 + 3/10
15 2/3 + 4/9

## Part 4: Adding Mixed Numbers with Different Denominators

For Questions 16-20, add the given mixed numbers.

Question Mixed Numbers
16 1 1/2 + 2 1/3
17 2 2/5 + 1 1/6
18 3 3/4 + 5 5/6
19 1 1/8 + 3 3/10
20 2 2/3 + 4 4/9

## Part 5: Word Problems

For Questions 21-25, solve the given word problems.

Question Problem
21 John has 1/3 of a pizza left and Jane has 1/4 of a pizza left. How much pizza do they have together?
22 A recipe calls for 2/3 cup of flour and 1/4 cup of sugar. How much flour and sugar are needed in total?
23 A car travels 1 1/2 miles in 1/3 hour. How many miles does it travel in 2 hours?
24 A group of friends went out to dinner and the bill came to \$45. If they split the bill evenly and there were 5 people, how much does each person owe?
25 A piece of wood is 5 3/4 feet long. If it is cut into pieces that are 1 1/2 feet long, how many pieces can be cut?

## Part 6: Challenge

For Questions 26-30, solve the given addition problems with fractions that have different denominators.

Question Fractions
26 1/3 + 1/4
27 2/5 + 1/6
28 3/8 + 5/12
29 1/4 + 3/5
30 2/3 + 4/7 + 1/2