# What is 3 4 6 9

## Fractional calculation exercises with solutions

**In this section you will find solutions to the exercises and old exam problems for fractions. If you have problems with the tasks, you should definitely read our explanatory articles again first.**

Tip: Write down the tasks on each piece of paper and only then do the math.

**Solution to task 1: work on the word problems**

1a) Bring fractions to a denominator, add fractions and reduce the result fraction

1b) Fractions are multiplied by calculating the numerator · numerator and denominator · denominator.

1c) Fractions are divided by multiplying by the reciprocal.

**Solutions to exercise 2: add fractions**

2a) 1/2 + 3/4 = 2/4 +3/4 = 5/4

2b) 2/3 + 1/3 = 3/3 = 1

2c) 4/5 + 1/2 = 8/10 + 5/10 = 13/10

2d) 8/7 + 1/2 = 16/14 + 7/14 = 23/14

2e) 6/9 +2/3 = 6/9 + 6/9 = 12/9 = 4/3

2f) 5/2 + 2/8 = 20/8 + 2/8 = 22/8 = 11/4

2g) 1/9 + 7/3 = 1/9 + 21/9 = 22/9

2h) 2/10 + 4/10 = 6/10 = 3/5

2i) 4/12 + 5/12 = 9/12 = 3/4

2j) 6/18 + 2/6 = 1/3 + 1/3 = 2/3

**Solutions to exercise 3: subtract fractions**

3a) 3/4 - 1/2 = 3/4 - 2/4 = 1/4

3b) 7/8 - 1/4 = 7/8 - 2/8 = 5/8

3c) 8/3 - 2/3 = 6/3 = 2

3d) 4/5 - 1/4 = 16/20 - 5/20 = 11/20

3e) 3/3 - 1/2 = 6/6 - 3/6 = 3/6 = 1/2

3f) 17/4 - 14/4 = 3/4

3g) 9/2 - 10/2 = -1/2

3h) 4/4 - 8/2 = 2/2 - 8/2 = -6/2 = -3

3i) 8/1 - 12/2 = 8 - 6 = 2

3j) 18/3 - 20/3 = -2/3

**Solutions to exercise 4: multiply fractions**

4a) 1/3 · 2/3 = 2/9

4b) 2/4 1/2 = 2/8 = 1/4

4c) 6/1 · 2/3 = 12/3 = 4

4d) 5/6 3/5 = 15/30 = 1/2

4e) 8/2 x 5/3 = 40/6 = 20/3

4f) 6/9 · 2/8 = 12/72 = 1/6

4g) 2/4 6/7 = 12/28 = 6/14 = 3/7

4h) 6/3 · 2/3 = 12/9 = 4/3

4i) 8/2 · 10/12 = 80/24 = 40/12 = 20/6 = 10/3

4j) 12/7 1/2 = 12/14 = 6/7

**Solutions to exercise 5: Divide fractions**

5a) 6/3: 2/1 = 6/3 1/2 = 6/6 = 1

5b) 1/2: 3/4 = 1/2 x 4/3 = 4/6 = 2/3

5c) 9/2: 1/2 = 9/2 * 2/1 = 18/2 = 9

5d) 4/5: 2/3 = 4/5 3/2 = 12/10 = 6/5

5e) 7/2: 5/6 = 7/2 6/5 = 42/10 = 21/5

5f) 2/9: 2/10 = 2/9 · 10/2 = 20/18 = 10/9

5g) 2/3: 6/3 = 2/3 x 3/6 = 6/18 = 1/3

5h) 10/20: 3/13 = 10/20 · 13/3 = 130/60 = 13/6

5i) 11/12: 10/10 = 11/12 · 1 = 11/12

5j) 8/17: 2/10 = 8/17 x 10/2 = 80/34 = 40/17

**Left:**

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