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Math worksheet for students to practice converting fractions, decimals, and percents.

Worksheet titled "Relate Fractions, Decimals, and Percents #1" with a table for converting between fractions, decimals, and percents.

Worksheet titled "Relate Fractions, Decimals, and Percents #1" with a table for converting between fractions, decimals, and percents.

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Show Answer Key & Explanations Step-by-step solution for: Relate Fractions, Decimals, and Percents #1 | Worksheet ...
Let’s go row by row and fill in the missing values. Remember:

- To turn a fraction into a decimal, divide the top number (numerator) by the bottom number (denominator).
- To turn a decimal into a percent, multiply by 100 and add the % sign.
- To turn a percent into a decimal, divide by 100.
- To turn a percent into a fraction, write it over 100 and simplify.
- Always simplify fractions to their simplest form.

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Row 1:
Fraction = 11/100 → Decimal = 0.11 → Percent = 11%
Already filled correctly.

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Row 2:
Fraction = 37/100 → Decimal = 0.37 → Percent = 37%
(Just move decimal two places right for percent)

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Row 3:
Percent = 50% → Decimal = 0.50 or just 0.5 → Fraction = 50/100 = 1/2

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Row 4:
Decimal = 0.1 → Percent = 10% → Fraction = 1/10
(Because 0.1 = 1/10, and 1/10 × 100 = 10%)

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Row 5:
Fraction = 9/100 → Decimal = 0.09 → Percent = 9%

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Row 6:
Decimal = 0.82 → Percent = 82% → Fraction = 82/100 = 41/50
(Simplify 82/100 by dividing numerator and denominator by 2)

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Row 7:
Fraction = 11/25 → Let’s convert to decimal: 11 ÷ 25 = 0.44
Then percent: 0.44 × 100 = 44%

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Row 8:
Percent = 36% → Decimal = 0.36 → Fraction = 36/100 = 9/25
(Simplify by dividing by 4)

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Row 9:
Fraction = 1/20 → Decimal = 1 ÷ 20 = 0.05 → Percent = 5%

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Row 10:
Percent = 98% → Decimal = 0.98 → Fraction = 98/100 = 49/50
(Simplify by dividing by 2)

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Row 11:
Decimal = 0.02 → Percent = 2% → Fraction = 2/100 = 1/50

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Row 12:
Percent = 8% → Decimal = 0.08 → Fraction = 8/100 = 2/25
(Simplify by dividing by 4)

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Now let’s put all answers in order as they appear in the table rows:

Row 1: 11/100, 0.11, 11% → already done
Row 2: 37/100, 0.37, 37%
Row 3: 1/2, 0.5, 50%
Row 4: 1/10, 0.1, 10%
Row 5: 9/100, 0.09, 9%
Row 6: 41/50, 0.82, 82%
Row 7: 11/25, 0.44, 44%
Row 8: 9/25, 0.36, 36%
Row 9: 1/20, 0.05, 5%
Row 10: 49/50, 0.98, 98%
Row 11: 1/50, 0.02, 2%
Row 12: 2/25, 0.08, 8%

Final Answer:
Here are the completed rows with missing values filled in:

Row 2: Decimal = 0.37, Percent = 37%
Row 3: Fraction = 1/2, Decimal = 0.5
Row 4: Fraction = 1/10, Percent = 10%
Row 5: Decimal = 0.09, Percent = 9%
Row 6: Fraction = 41/50, Percent = 82%
Row 7: Decimal = 0.44, Percent = 44%
Row 8: Fraction = 9/25, Decimal = 0.36
Row 9: Decimal = 0.05, Percent = 5%
Row 10: Fraction = 49/50, Decimal = 0.98
Row 11: Fraction = 1/50, Percent = 2%
Row 12: Fraction = 2/25, Decimal = 0.08
Parent Tip: Review the logic above to help your child master the concept of percents decimals fractions worksheet.
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