Add, subtract, multiply and divide fractions worksheet | Live ... - Free Printable

Let's solve each of the fraction problems step by step and match them with the correct answers from the list on the right.

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a) $\frac{3}{20} + \frac{7}{20}$

Since the denominators are the same, add the numerators:

$$
\frac{3 + 7}{20} = \frac{10}{20} = \frac{1}{2}
$$

✔ Answer: $\frac{1}{2}$

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b) $\frac{4}{5} - \frac{2}{3}$

Find a common denominator. The least common denominator (LCD) of 5 and 3 is 15.

Convert both fractions:

$$
\frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15}, \quad \frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}
$$

Now subtract:

$$
\frac{12}{15} - \frac{10}{15} = \frac{2}{15}
$$

✔ Answer: $\frac{2}{15}$

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c) $\frac{1}{10} + \frac{4}{5}$

Convert $\frac{4}{5}$ to have denominator 10:

$$
\frac{4}{5} = \frac{8}{10}
$$

Now add:

$$
\frac{1}{10} + \frac{8}{10} = \frac{9}{10}
$$

✔ Answer: $\frac{9}{10}$

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d) $\frac{7}{11} - \frac{1}{2}$

Find LCD of 11 and 2 → 22

Convert:

$$
\frac{7}{11} = \frac{14}{22}, \quad \frac{1}{2} = \frac{11}{22}
$$

Subtract:

$$
\frac{14}{22} - \frac{11}{22} = \frac{3}{22}
$$

✔ Answer: $\frac{3}{22}$

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e) $\frac{2}{5} \times \frac{5}{6}$

Multiply numerators and denominators:

$$
\frac{2 \times 5}{5 \times 6} = \frac{10}{30} = \frac{1}{3}
$$

(Simplify by dividing numerator and denominator by 10)

✔ Answer: $\frac{1}{3}$

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f) $\frac{6}{9} \div \frac{3}{4}$

First simplify $\frac{6}{9} = \frac{2}{3}$

Now divide:

$$
\frac{2}{3} \div \frac{3}{4} = \frac{2}{3} \times \frac{4}{3} = \frac{8}{9}
$$

✔ Answer: $\frac{8}{9}$

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✔ Final Matching:

| Problem | Answer |
|--------|--------|
| a) $\frac{3}{20} + \frac{7}{20}$ | $\frac{1}{2}$ |
| b) $\frac{4}{5} - \frac{2}{3}$ | $\frac{2}{15}$ |
| c) $\frac{1}{10} + \frac{4}{5}$ | $\frac{9}{10}$ |
| d) $\frac{7}{11} - \frac{1}{2}$ | $\frac{3}{22}$ |
| e) $\frac{2}{5} \times \frac{5}{6}$ | $\frac{1}{3}$ |
| f) $\frac{6}{9} \div \frac{3}{4}$ | $\frac{8}{9}$ |

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🔍 Summary of Answers:

- a) → $\boxed{\frac{1}{2}}$
- b) → $\boxed{\frac{2}{15}}$
- c) → $\boxed{\frac{9}{10}}$
- d) → $\boxed{\frac{3}{22}}$
- e) → $\boxed{\frac{1}{3}}$
- f) → $\boxed{\frac{8}{9}}$

These match the given options on the right side of the worksheet.

✔ All solved correctly!