Multiplying fractions - Fraction and Decimal Worksheets for Year 6 ... - Free Printable

Here are the solutions for the fraction multiplication problems on the worksheet.

To solve these, we follow the three steps shown in the example:
1. Multiply the top numbers (numerators) together.
2. Multiply the bottom numbers (denominators) together.
3. Simplify the answer if possible (divide the top and bottom by the same number to make them smaller).

Step-by-step Solutions:

1. $\frac{4}{5} \times \frac{1}{2}$
* Top: $4 \times 1 = 4$
* Bottom: $5 \times 2 = 10$
* Result: $\frac{4}{10}$
* Simplify: Divide both by 2 $\rightarrow$ $\frac{2}{5}$

2. $\frac{8}{10} \times \frac{2}{3}$
* Top: $8 \times 2 = 16$
* Bottom: $10 \times 3 = 30$
* Result: $\frac{16}{30}$
* Simplify: Divide both by 2 $\rightarrow$ $\frac{8}{15}$

3. $\frac{3}{4} \times \frac{3}{5}$
* Top: $3 \times 3 = 9$
* Bottom: $4 \times 5 = 20$
* Result: $\frac{9}{20}$ (Cannot be simplified further)

4. $\frac{3}{5} \times \frac{6}{10}$
* Top: $3 \times 6 = 18$
* Bottom: $5 \times 10 = 50$
* Result: $\frac{18}{50}$
* Simplify: Divide both by 2 $\rightarrow$ $\frac{9}{25}$

5. $\frac{1}{4} \times \frac{4}{10}$
* Top: $1 \times 4 = 4$
* Bottom: $4 \times 10 = 40$
* Result: $\frac{4}{40}$
* Simplify: Divide both by 4 $\rightarrow$ $\frac{1}{10}$

6. $\frac{1}{2} \times \frac{1}{5}$
* Top: $1 \times 1 = 1$
* Bottom: $2 \times 5 = 10$
* Result: $\frac{1}{10}$

7. $\frac{4}{5} \times \frac{1}{4}$
* Top: $4 \times 1 = 4$
* Bottom: $5 \times 4 = 20$
* Result: $\frac{4}{20}$
* Simplify: Divide both by 4 $\rightarrow$ $\frac{1}{5}$

8. $\frac{3}{4} \times \frac{1}{5}$
* Top: $3 \times 1 = 3$
* Bottom: $4 \times 5 = 20$
* Result: $\frac{3}{20}$

9. $\frac{1}{4} \times \frac{2}{10}$
* Top: $1 \times 2 = 2$
* Bottom: $4 \times 10 = 40$
* Result: $\frac{2}{40}$
* Simplify: Divide both by 2 $\rightarrow$ $\frac{1}{20}$

10. $\frac{2}{4} \times \frac{1}{3}$
* Top: $2 \times 1 = 2$
* Bottom: $4 \times 3 = 12$
* Result: $\frac{2}{12}$
* Simplify: Divide both by 2 $\rightarrow$ $\frac{1}{6}$

11. $\frac{3}{5} \times \frac{1}{4}$
* Top: $3 \times 1 = 3$
* Bottom: $5 \times 4 = 20$
* Result: $\frac{3}{20}$

12. $\frac{1}{4} \times \frac{1}{3}$
* Top: $1 \times 1 = 1$
* Bottom: $4 \times 3 = 12$
* Result: $\frac{1}{12}$

13. $\frac{1}{2} \times \frac{1}{5}$
* Top: $1 \times 1 = 1$
* Bottom: $2 \times 5 = 10$
* Result: $\frac{1}{10}$

14. $\frac{1}{2} \times \frac{3}{5}$
* Top: $1 \times 3 = 3$
* Bottom: $2 \times 5 = 10$
* Result: $\frac{3}{10}$

Final Answer:
1. $\frac{2}{5}$
2. $\frac{8}{15}$
3. $\frac{9}{20}$
4. $\frac{9}{25}$
5. $\frac{1}{10}$
6. $\frac{1}{10}$
7. $\frac{1}{5}$
8. $\frac{3}{20}$
9. $\frac{1}{20}$
10. $\frac{1}{6}$
11. $\frac{3}{20}$
12. $\frac{1}{12}$
13. $\frac{1}{10}$
14. $\frac{3}{10}$