To convert these fractions to decimals using equivalent fractions, we want to change the denominator (the bottom number) to 10, 100, or 1000. This makes it very easy to write them as decimals.
Here is the step-by-step solution for each problem:
1. $\frac{15}{20}$
* Divide the top and bottom by 5 to simplify: $\frac{3}{4}$.
* Multiply top and bottom by 25 to get a denominator of 100: $\frac{3 \times 25}{4 \times 25} = \frac{75}{100}$.
* Answer:
0.75
2. $\frac{12}{25}$
* Multiply top and bottom by 4 to get a denominator of 100: $\frac{12 \times 4}{25 \times 4} = \frac{48}{100}$.
* Answer:
0.48
3. $\frac{12}{25}$
* This is the same as the previous one.
* Multiply top and bottom by 4: $\frac{48}{100}$.
* Answer:
0.48
4. $\frac{1}{2}$
* Multiply top and bottom by 5 to get a denominator of 10: $\frac{1 \times 5}{2 \times 5} = \frac{5}{10}$.
* Answer:
0.5
5. $\frac{13}{25}$
* Multiply top and bottom by 4 to get a denominator of 100: $\frac{13 \times 4}{25 \times 4} = \frac{52}{100}$.
* Answer:
0.52
6. $\frac{3}{5}$
* Multiply top and bottom by 2 to get a denominator of 10: $\frac{3 \times 2}{5 \times 2} = \frac{6}{10}$.
* Answer:
0.6
7. $\frac{19}{50}$
* Multiply top and bottom by 2 to get a denominator of 100: $\frac{19 \times 2}{50 \times 2} = \frac{38}{100}$.
* Answer:
0.38
8. $\frac{17}{20}$
* Multiply top and bottom by 5 to get a denominator of 100: $\frac{17 \times 5}{20 \times 5} = \frac{85}{100}$.
* Answer:
0.85
9. $\frac{6}{20}$
* Simplify by dividing by 2: $\frac{3}{10}$.
* Answer:
0.3
10. $\frac{1}{4}$
* Multiply top and bottom by 25 to get a denominator of 100: $\frac{1 \times 25}{4 \times 25} = \frac{25}{100}$.
* Answer:
0.25
11. $\frac{24}{25}$
* Multiply top and bottom by 4 to get a denominator of 100: $\frac{24 \times 4}{25 \times 4} = \frac{96}{100}$.
* Answer:
0.96
12. $\frac{9}{25}$
* Multiply top and bottom by 4 to get a denominator of 100: $\frac{9 \times 4}{25 \times 4} = \frac{36}{100}$.
* Answer:
0.36
13. $\frac{2}{5}$
* Multiply top and bottom by 2 to get a denominator of 10: $\frac{2 \times 2}{5 \times 2} = \frac{4}{10}$.
* Answer:
0.4
14. $\frac{7}{20}$
* Multiply top and bottom by 5 to get a denominator of 100: $\frac{7 \times 5}{20 \times 5} = \frac{35}{100}$.
* Answer:
0.35
Final Answer:
$\frac{15}{20} = 0.75$
$\frac{12}{25} = 0.48$
$\frac{12}{25} = 0.48$
$\frac{1}{2} = 0.5$
$\frac{13}{25} = 0.52$
$\frac{3}{5} = 0.6$
$\frac{19}{50} = 0.38$
$\frac{17}{20} = 0.85$
$\frac{6}{20} = 0.3$
$\frac{1}{4} = 0.25$
$\frac{24}{25} = 0.96$
$\frac{9}{25} = 0.36$
$\frac{2}{5} = 0.4$
$\frac{7}{20} = 0.35$
Parent Tip: Review the logic above to help your child master the concept of converting fractions to decimals worksheet.
