Conversions
Convert between fractions and decimals
Start with the basics and progress through 2 lessons. Each lesson builds on the previous one.
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Test Your Knowledge
10 questions, new mix each time (from 32)
In This Topic (2 lessons)
Converting Fractions to Decimals
Learn how to convert any fraction into a decimal using division.
Converting Decimals to Fractions
Learn how to convert any decimal number into a fraction and simplify it to lowest terms.
Converting between fractions, decimals, and percentages is an essential skill that connects three different ways of expressing the same value. One-half can be written as $\frac{1}{2}$, 0.5, or 50% - three representations of identical quantities. Mastering these conversions allows you to choose the most convenient form for any situation.
Each format has its strengths: fractions show exact ratios, decimals work well with calculators, and percentages communicate proportions intuitively. Understanding how to move between them gives you flexibility in problem-solving, from calculating tips to understanding statistics to comparing data.
What You'll Learn
- Convert fractions to decimals by division
- Convert decimals to percentages by multiplying by 100
- Convert percentages to fractions in simplest form
- Recognize common equivalents like 1/4 = 0.25 = 25%
- Choose the best representation for different contexts
Frequently Asked Questions
Why do we have three different ways to write the same value?
Each format is useful in different situations. Fractions show exact parts, decimals align for calculations, and percentages are intuitive for comparing proportions (like 75% vs 80%).
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. For example, $\frac{3}{4} = 3 \div 4 = 0.75$. Some fractions give repeating decimals, like $\frac{1}{3} = 0.333...$.
Why multiply by 100 to get a percentage?
Percent means per hundred. Multiplying by 100 shows how many parts per 100, so 0.75 becomes 75 per 100, or 75%.