Fractions Decimals and Percents Worksheets - Math Monks - Free Printable

Let’s go step by step through each section of the worksheet.

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Section 1: Convert decimals to percents

To convert a decimal to a percent, multiply by 100 and add the % symbol.

a. 0.623 × 100 = 62.3 → 62.3%
b. 0.53 × 100 = 53 → 53%
c. 0.38 × 100 = 38 → 38%
d. 0.96 × 100 = 96 → 96%
e. 0.56 × 100 = 56 → 56%
f. 0.07 × 100 = 7 → 7%

✔ All correct.

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Section 2: Convert percents to decimals

To convert a percent to a decimal, divide by 100 (or move decimal point two places left).

a. 0.9% ÷ 100 = 0.009 → 0.009
b. 9.37% ÷ 100 = 0.0937 → 0.0937
c. 31.84% ÷ 100 = 0.3184 → 0.3184
d. 13.82% ÷ 100 = 0.1382 → 0.1382
e. 11.83% ÷ 100 = 0.1183 → 0.1183
f. 48.19% ÷ 100 = 0.4819 → 0.4819

✔ All correct.

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Section 3: Convert decimals to fractions

Write the decimal as a fraction over 10, 100, 1000, etc., then simplify if possible.

a. 0.91 = 91/100 → already simplified → 91/100
b. 0.80 = 80/100 = 8/10 = 4/5 → 4/5
c. 0.02 = 2/100 = 1/50 → 1/50
d. 0.88 = 88/100 = 22/25 → 22/25
e. 0.235 = 235/1000 = 47/200 → 47/200
f. 0.679 = 679/1000 → cannot simplify → 679/1000

✔ All correct.

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Section 4: Convert fractions to decimals

Divide numerator by denominator.

a. 2 ÷ 5 = 0.4 → 0.4
b. 2 ÷ 11 ≈ 0.1818... → we’ll round to 4 decimals unless specified → 0.1818
c. 11 ÷ 19 ≈ 0.5789 → 0.5789
d. 2 ÷ 7 ≈ 0.2857 → 0.2857
e. 8 ÷ 13 ≈ 0.6154 → 0.6154
f. 6 ÷ 4 = 1.5 → 1.5

✔ All correct.

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Section 5: Convert fractions to percents

First convert to decimal, then multiply by 100.

a. 1/5 = 0.2 → 0.2 × 100 = 20 → 20%
b. 3/7 ≈ 0.4286 → ×100 = 42.86 → 42.86%
c. 10/9 ≈ 1.1111 → ×100 = 111.11 → 111.11%
d. 12/13 ≈ 0.9231 → ×100 = 92.31 → 92.31%
e. 21/17 ≈ 1.2353 → ×100 = 123.53 → 123.53%
f. 27/19 ≈ 1.4211 → ×100 = 142.11 → 142.11%

✔ All correct.

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Section 6: Convert percents to fractions

Write percent over 100, then simplify.

a. 96.3% = 96.3/100 = 963/1000 → 963/1000
b. 7.6% = 7.6/100 = 76/1000 = 19/250 → 19/250
c. 28.13% = 28.13/100 = 2813/10000 → 2813/10000
d. 32.3% = 32.3/100 = 323/1000 → 323/1000
e. 0.007% = 0.007/100 = 7/100000 → 7/100000
f. 1.23% = 1.23/100 = 123/10000 → 123/10000

✔ All correct.

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Final Answer:

Section 1:
a. 62.3% b. 53% c. 38% d. 96% e. 56% f. 7%

Section 2:
a. 0.009 b. 0.0937 c. 0.3184 d. 0.1382 e. 0.1183 f. 0.4819

Section 3:
a. 91/100 b. 4/5 c. 1/50 d. 22/25 e. 47/200 f. 679/1000

Section 4:
a. 0.4 b. 0.1818 c. 0.5789 d. 0.2857 e. 0.6154 f. 1.5

Section 5:
a. 20% b. 42.86% c. 111.11% d. 92.31% e. 123.53% f. 142.11%

Section 6:
a. 963/1000 b. 19/250 c. 2813/10000 d. 323/1000 e. 7/100000 f. 123/10000