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 |