Let's solve the
Fractions to Percents Worksheet step by step.
The goal is to convert each fraction into a percent. To do this, remember:
>
To convert a fraction to a percent:
> - If the denominator is 100, the numerator is already the percent.
> - Otherwise, divide the numerator by the denominator and multiply by 100.
---
Solutions:
1.
$ \frac{7}{10} $
$$
\frac{7}{10} = 0.7 \times 100 = 70\%
$$
2.
$ \frac{23}{100} $
$$
\frac{23}{100} = 23\% \quad \text{(denominator is 100)}
$$
3.
$ \frac{9}{10} $
$$
\frac{9}{10} = 0.9 \times 100 = 90\%
$$
4.
$ \frac{54}{100} $
$$
\frac{54}{100} = 54\% \quad \text{(denominator is 100)}
$$
5.
$ \frac{4}{10} $
$$
\frac{4}{10} = 0.4 \times 100 = 40\%
$$
6.
$ \frac{42}{100} $
$$
\frac{42}{100} = 42\% \quad \text{(denominator is 100)}
$$
7.
$ \frac{2}{10} $
$$
\frac{2}{10} = 0.2 \times 100 = 20\%
$$
8.
$ \frac{79}{100} $
$$
\frac{79}{100} = 79\% \quad \text{(denominator is 100)}
$$
9.
$ \frac{65}{100} $
$$
\frac{65}{100} = 65\% \quad \text{(denominator is 100)}
$$
10.
$ \frac{3}{10} $
$$
\frac{3}{10} = 0.3 \times 100 = 30\%
$$
11.
$ \frac{62}{100} $
$$
\frac{62}{100} = 62\% \quad \text{(denominator is 100)}
$$
12.
$ \frac{12}{100} $
$$
\frac{12}{100} = 12\% \quad \text{(denominator is 100)}
$$
13.
$ \frac{72}{100} $
$$
\frac{72}{100} = 72\% \quad \text{(denominator is 100)}
$$
14.
$ \frac{1}{10} $
$$
\frac{1}{10} = 0.1 \times 100 = 10\%
$$
15.
$ \frac{7}{100} $
$$
\frac{7}{100} = 7\% \quad \text{(denominator is 100)}
$$
16.
$ \frac{5}{10} $
$$
\frac{5}{10} = 0.5 \times 100 = 50\%
$$
---
✔ Final Answers:
1. 70%
2. 23%
3. 90%
4. 54%
5. 40%
6. 42%
7. 20%
8. 79%
9. 65%
10. 30%
11. 62%
12. 12%
13. 72%
14. 10%
15. 7%
16. 50%
---
🔍 Explanation:
- Fractions with denominator
100 are directly converted to percents (e.g., $ \frac{23}{100} = 23\% $).
- For fractions with denominator
10, divide numerator by 10 and multiply by 100 → e.g., $ \frac{7}{10} = 70\% $.
- This worksheet helps build understanding of the relationship between fractions and percentages, especially common ones like tenths and hundredths.
Let me know if you'd like a printable version or visual explanation!
Parent Tip: Review the logic above to help your child master the concept of percentage worksheet grade 6.
