Decimal, Fraction, and Percent Conversions
A free Pre-Algebra lesson from the “Decimals, Roots, and the Real Number System” unit, with a worked example and practice problems including step-by-step solutions.
Decimals, fractions, and percents are different ways to write the same value. Percent means per 100. Fractions can become decimals by dividing, and decimals can become percents by multiplying by 100. In Decimals, Roots, and the Real Number System, the goal is not just to get an answer but to recognize the structure of the problem, choose a reliable strategy, and explain why the result is reasonable. The practice set now includes targeted skill work, transfer questions, and mixed review so students build fluency and retention.
What you'll learn
- Convert decimals to fractions and percents
- Convert fractions to decimals and percents
- Use benchmark conversions fluently
Worked example
Problem. Write 0.375 as a percent and a fraction.
- Multiply 0.375 by 100 to get 37.5%.
- 0.375 = 375/1000.
- Simplify 375/1000 to 3/8.
- Connect the calculation back to Decimal, Fraction, and Percent Conversions so the method, not just the arithmetic, is clear.
Answer: 37.5% and 3/8
Lesson preview: this page shows 5 practice items. The interactive activity contains 28 practice items and 15 quiz items (typed response and multiple choice). Counts include repeated prompts and variants.
Practice problems
1. Write 0.6 as a percent.
Show solution
- Multiply 0.6 by 100.
- 0.6 = 60%.
Answer: 60
2. Write 35% as a decimal.
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- Divide 35 by 100.
- 35% = 0.35.
Answer: 0.35
3. Write 1/4 as a decimal.
Show solution
- 1 divided by 4 is 0.25.
- So 1/4 = 0.25.
Answer: 0.25
4. Write 3/5 as a percent.
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- 3 divided by 5 is 0.6.
- 0.6 = 60%.
Answer: 60
5. Write 0.125 as a fraction in simplest form.
Show solution
- 0.125 = 125/1000.
- 125/1000 simplifies to 1/8.
Answer: 1/8
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