Let's solve each problem on the worksheet step by step. The goal is to
convert percents to decimals and
decimals to percents.
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🔁 Rules to Remember:
-
Percent → Decimal: Divide by 100 (move decimal point two places left).
-
Decimal → Percent: Multiply by 100 (move decimal point two places right).
Also, for mixed numbers like $66\frac{1}{2}\%$, convert the fraction to a decimal first.
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Now let’s go through each problem:
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1.
56% = ?
$ 56 \div 100 = 0.56 $
2.
$66\frac{1}{2}\% = ?$
$ \frac{1}{2} = 0.5 $, so $66.5\%$
$ 66.5 \div 100 = 0.665 $
3.
0.612 = ?%
$ 0.612 \times 100 = 61.2\% $
4.
0.942 = ?%
$ 0.942 \times 100 = 94.2\% $
5.
0.815 = ?%
$ 0.815 \times 100 = 81.5\% $
6.
0.284 = ?%
$ 0.284 \times 100 = 28.4\% $
7.
0.378 = ?%
$ 0.378 \times 100 = 37.8\% $
8.
0.77 = ?%
$ 0.77 \times 100 = 77\% $
9.
$71\frac{2}{4}\% = ?$
Simplify: $ \frac{2}{4} = 0.5 $, so $71.5\%$
$ 71.5 \div 100 = 0.715 $
10.
$59\frac{1}{2}\% = ?$
$ \frac{1}{2} = 0.5 $, so $59.5\%$
$ 59.5 \div 100 = 0.595 $
11.
$47\frac{5}{10}\% = ?$
$ \frac{5}{10} = 0.5 $, so $47.5\%$
$ 47.5 \div 100 = 0.475 $
12.
0.6 = ?%
$ 0.6 \times 100 = 60\% $
13.
0.156 = ?%
$ 0.156 \times 100 = 15.6\% $
14.
0.112 = ?%
$ 0.112 \times 100 = 11.2\% $
15.
0.685 = ?%
$ 0.685 \times 100 = 68.5\% $
16.
$27\frac{1}{4}\% = ?$
$ \frac{1}{4} = 0.25 $, so $27.25\%$
$ 27.25 \div 100 = 0.2725 $
17.
0.922 = ?%
$ 0.922 \times 100 = 92.2\% $
18.
$38\frac{3}{5}\% = ?$
$ \frac{3}{5} = 0.6 $, so $38.6\%$
$ 38.6 \div 100 = 0.386 $
19.
67% = ?
$ 67 \div 100 = 0.67 $
20.
88% = ?
$ 88 \div 100 = 0.88 $
21.
0.932 = ?%
$ 0.932 \times 100 = 93.2\% $
22.
0.516 = ?%
$ 0.516 \times 100 = 51.6\% $
23.
0.027 = ?%
$ 0.027 \times 100 = 2.7\% $
24.
$76\frac{1}{2}\% = ?$
$ \frac{1}{2} = 0.5 $, so $76.5\%$
$ 76.5 \div 100 = 0.765 $
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✔ Final Answers:
| # | Answer |
|---|--------|
| 1 | 0.56 |
| 2 | 0.665 |
| 3 | 61.2% |
| 4 | 94.2% |
| 5 | 81.5% |
| 6 | 28.4% |
| 7 | 37.8% |
| 8 | 77% |
| 9 | 0.715 |
| 10 | 0.595 |
| 11 | 0.475 |
| 12 | 60% |
| 13 | 15.6% |
| 14 | 11.2% |
| 15 | 68.5% |
| 16 | 0.2725 |
| 17 | 92.2% |
| 18 | 0.386 |
| 19 | 0.67 |
| 20 | 0.88 |
| 21 | 93.2% |
| 22 | 51.6% |
| 23 | 2.7% |
| 24 | 0.765 |
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📝 Summary:
- When converting
percent to decimal, divide by 100.
- When converting
decimal to percent, multiply by 100.
- Mixed fractions in percents must be converted to decimals first.
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of convert decimals to percents worksheets.
