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§ Fractions·Grades 6–7

Fraction / Decimal / Percent Worksheets

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Easy

10 problems

Medium

20 problems

Hard

20 problems

Mixed

30 problems

Free printable fraction / decimal / percent worksheets with step-by-step answer keys. Every worksheet is uniquely generated so students never see the same problems twice. Topics covered range from fraction to decimal or percent (common benchmark fractions) at the easy level through to all four conversion directions with harder denominators at the advanced level.

CCSS.6.RPCCSS.7.NS

What is fraction / decimal / percent?

Fractions, decimals, and percentages represent identical mathematical values in different formats. The fraction 34 equals the decimal 0.75, which equals 75 percent. Converting between these forms requires understanding that fractions represent division, decimals show place value positions, and percentages express parts per 100.

Why it matters

Converting between fractions, decimals, and percentages appears throughout daily life and advanced mathematics. Store discounts show percentages like 25% off, which equals 0.25 or 14 of the original price. Scientific measurements often use decimals like 0.375 liters, while recipes call for fractional amounts like 38 cup. Sports statistics combine all three formats — a batting average of 0.300 equals 30% or 310. In algebra and statistics, students must fluently convert between these forms to solve equations and interpret data. Financial calculations require percentage-to-decimal conversions for interest rates, while engineering uses fractional measurements that convert to decimal equivalents for precision calculations.

Common mistakes to watch for

  • Converting 3/4 to 0.34 instead of 0.75 by placing numerator and denominator side by side rather than dividing.
  • Writing 0.6 as 6% instead of 60% by forgetting to multiply by 100 when converting decimal to percentage.
  • Converting 25% to 1/25 instead of 1/4 by using the percentage number as the denominator rather than placing it over 100 and simplifying.

Questions teachers ask

How do you convert a fraction to a decimal?+
Divide the numerator by the denominator. For example, 5/8 becomes 5 ÷ 8 = 0.625. This works because fractions represent division operations that can be completed using long division or a calculator.
What's the quickest way to convert decimals to percentages?+
Multiply by 100 and add the percent symbol. The decimal 0.73 becomes 0.73 × 100 = 73%. This shifts the decimal point two places to the right because 100 has two zeros.
How do you turn a percentage into a fraction?+
Place the percentage number over 100 and simplify. For instance, 40% becomes 40/100, which reduces to 2/5 by dividing both numerator and denominator by their greatest common factor of 20.
Which decimals create repeating patterns?+
Fractions with denominators containing prime factors other than 2 and 5 produce repeating decimals. Examples include 1/3 = 0.333... and 2/7 = 0.285714285714... where the digits cycle indefinitely.
What are the most important benchmark conversions to memorize?+
Key conversions include 1/2 = 0.5 = 50%, 1/4 = 0.25 = 25%, 3/4 = 0.75 = 75%, 1/5 = 0.2 = 20%, and 1/10 = 0.1 = 10%. These appear frequently in mathematics and real-world applications.
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