Let's solve the problem step by step.
We are asked to find various
unit fractions (or fractions) of 50. A unit fraction is a fraction with 1 in the numerator, like $ \frac{1}{2}, \frac{1}{3}, \frac{1}{4} $, etc., but here we also have non-unit fractions like $ \frac{3}{20} $, so we’ll compute each one as a portion of 50.
---
General Rule:
To find $ \frac{a}{b} $ of 50, you calculate:
$$
\frac{a}{b} \times 50 = \frac{a \times 50}{b}
$$
Let’s go through each one:
---
1. $ \frac{1}{10} $ of 50
$$
\frac{1}{10} \times 50 = \frac{50}{10} = 5
$$
2. $ \frac{1}{20} $ of 50
$$
\frac{1}{20} \times 50 = \frac{50}{20} = 2.5
$$
3. $ \frac{3}{20} $ of 50
$$
\frac{3}{20} \times 50 = \frac{150}{20} = 7.5
$$
4. $ \frac{1}{4} $ of 50
$$
\frac{1}{4} \times 50 = \frac{50}{4} = 12.5
$$
5. $ \frac{1}{8} $ of 50
$$
\frac{1}{8} \times 50 = \frac{50}{8} = 6.25
$$
6. $ \frac{3}{8} $ of 50
$$
\frac{3}{8} \times 50 = \frac{150}{8} = 18.75
$$
7. $ \frac{1}{16} $ of 50
$$
\frac{1}{16} \times 50 = \frac{50}{16} = 3.125
$$
8. $ \frac{7}{10} $ of 50
$$
\frac{7}{10} \times 50 = \frac{350}{10} = 35
$$
9. $ \frac{2}{20} $ of 50
Note: $ \frac{2}{20} = \frac{1}{10} $, so
$$
\frac{2}{20} \times 50 = \frac{1}{10} \times 50 = 5
$$
10. $ \frac{9}{20} $ of 50
$$
\frac{9}{20} \times 50 = \frac{450}{20} = 22.5
$$
11. $ \frac{3}{4} $ of 50
$$
\frac{3}{4} \times 50 = \frac{150}{4} = 37.5
$$
---
Final Answers:
| Fraction | Answer |
|--------|--------|
| $ \frac{1}{10} $ of 50 |
5 |
| $ \frac{1}{20} $ of 50 |
2.5 |
| $ \frac{3}{20} $ of 50 |
7.5 |
| $ \frac{1}{4} $ of 50 |
12.5 |
| $ \frac{1}{8} $ of 50 |
6.25 |
| $ \frac{3}{8} $ of 50 |
18.75 |
| $ \frac{1}{16} $ of 50 |
3.125 |
| $ \frac{7}{10} $ of 50 |
35 |
| $ \frac{2}{20} $ of 50 |
5 |
| $ \frac{9}{20} $ of 50 |
22.5 |
| $ \frac{3}{4} $ of 50 |
37.5 |
---
✔ Explanation: To find a fraction of a number, multiply the number by the fraction. This involves multiplying the numerator by the number and dividing by the denominator. We simplified where possible and gave decimal answers for clarity.
Let me know if you'd like these as fractions instead!
Parent Tip: Review the logic above to help your child master the concept of unit fraction worksheet.
