Convert fractions to decimals using equivalent fractions with this math worksheet.

To convert fractions to decimals using equivalent fractions, we want to change the denominator (bottom number) to 10, 100, or 1000. This makes it easy to write as a decimal.

Here is the step-by-step solution for each problem:

1. $\frac{15}{20}$
* Divide both top and bottom by 5 to get $\frac{3}{4}$.
* Multiply top and bottom by 25 to get a denominator of 100: $\frac{3 \times 25}{4 \times 25} = \frac{75}{100}$.
* $\frac{75}{100} = 0.75$

2. $\frac{12}{25}$
* Multiply top and bottom by 4 to get a denominator of 100: $\frac{12 \times 4}{25 \times 4} = \frac{48}{100}$.
* $\frac{48}{100} = 0.48$

3. $\frac{12}{25}$
* Same as above: $\frac{48}{100} = 0.48$

4. $\frac{1}{2}$
* Multiply top and bottom by 5 to get a denominator of 10: $\frac{1 \times 5}{2 \times 5} = \frac{5}{10}$.
* $\frac{5}{10} = 0.5$

5. $\frac{13}{25}$
* Multiply top and bottom by 4 to get a denominator of 100: $\frac{13 \times 4}{25 \times 4} = \frac{52}{100}$.
* $\frac{52}{100} = 0.52$

6. $\frac{3}{5}$
* Multiply top and bottom by 2 to get a denominator of 10: $\frac{3 \times 2}{5 \times 2} = \frac{6}{10}$.
* $\frac{6}{10} = 0.6$

7. $\frac{19}{50}$
* Multiply top and bottom by 2 to get a denominator of 100: $\frac{19 \times 2}{50 \times 2} = \frac{38}{100}$.
* $\frac{38}{100} = 0.38$

8. $\frac{17}{20}$
* Multiply top and bottom by 5 to get a denominator of 100: $\frac{17 \times 5}{20 \times 5} = \frac{85}{100}$.
* $\frac{85}{100} = 0.85$

9. $\frac{6}{20}$
* Simplify by dividing by 2: $\frac{3}{10}$.
* $\frac{3}{10} = 0.3$

10. $\frac{1}{4}$
* Multiply top and bottom by 25 to get a denominator of 100: $\frac{1 \times 25}{4 \times 25} = \frac{25}{100}$.
* $\frac{25}{100} = 0.25$

11. $\frac{24}{25}$
* Multiply top and bottom by 4 to get a denominator of 100: $\frac{24 \times 4}{25 \times 4} = \frac{96}{100}$.
* $\frac{96}{100} = 0.96$

12. $\frac{9}{25}$
* Multiply top and bottom by 4 to get a denominator of 100: $\frac{9 \times 4}{25 \times 4} = \frac{36}{100}$.
* $\frac{36}{100} = 0.36$

13. $\frac{2}{5}$
* Multiply top and bottom by 2 to get a denominator of 10: $\frac{2 \times 2}{5 \times 2} = \frac{4}{10}$.
* $\frac{4}{10} = 0.4$

14. $\frac{7}{20}$
* Multiply top and bottom by 5 to get a denominator of 100: $\frac{7 \times 5}{20 \times 5} = \frac{35}{100}$.
* $\frac{35}{100} = 0.35$

Final Answer:
$\frac{15}{20} = 0.75$
$\frac{12}{25} = 0.48$
$\frac{12}{25} = 0.48$
$\frac{1}{2} = 0.5$
$\frac{13}{25} = 0.52$
$\frac{3}{5} = 0.6$
$\frac{19}{50} = 0.38$
$\frac{17}{20} = 0.85$
$\frac{6}{20} = 0.3$
$\frac{1}{4} = 0.25$
$\frac{24}{25} = 0.96$
$\frac{9}{25} = 0.36$
$\frac{2}{5} = 0.4$
$\frac{7}{20} = 0.35$