Fraction Conversion — Step-by-Step Guides & Free Worksheets

Understanding how to switch between fractions, decimals, and percents is an essential math skill used in money, measurement, probability, and everyday problem solving. This guide walks through every conversion type — with worked examples and links to free printable worksheets at each step.

Fractions, decimals, and percents are three different ways to express the same value. Being able to move fluently between them is one of the most practically useful skills in elementary and middle school mathematics.

Real-World Applications

Conversion skills appear constantly in everyday life — calculating a 25% discount, reading a 0.5 litre measurement, interpreting a probability of 3/4. Students who can switch representations quickly have a clear advantage in both school maths and daily problem solving.

Foundation for Higher Maths

Fraction conversion underpins algebra, ratio, proportion, and statistics. A student who hesitates over converting 3/8 to a decimal will slow down on every problem that requires that step as a sub-task. Fluency here removes friction across the entire curriculum.

Builds Number Sense

Repeatedly working with the same value in different forms — $\frac{1}{4}$, 0.25, 25% — reinforces the understanding that numbers can be expressed in multiple equivalent ways. This flexibility is a hallmark of strong mathematical thinking.

To convert a fraction to a decimal, divide the numerator by the denominator.

Example: $\frac{3}{4}=3÷4=0.75$

Terminating vs Repeating Decimals

• Terminating: the division ends with remainder 0. Example: 1/4 = 0.25.
• Repeating: a digit or group of digits repeats forever. Example: 1/3 = 0.333… Written as 0.3.

Practice with free fractions to decimals worksheets →

Follow these three steps to convert any decimal to a fraction:

1. Write the decimal over 1. Example: $\frac{0.75}{1}$
2. Multiply numerator and denominator by a power of 10 to clear the decimal point. Example: $\frac{75}{100}$
3. Simplify to lowest terms. Example: $\frac{3}{4}$

Practice with free decimals to fractions worksheets →

To convert a fraction to a percentage, convert to a decimal first, then multiply by 100.

Example: $\frac{1}{2}=0.5=0.5\times 100=50\%$

Shortcut: Equivalent Fraction with Denominator 100

When the denominator divides evenly into 100, multiply both numerator and denominator. Example: $\frac{3}{4}=\frac{75}{100}=75\%$

Practice with free fractions to percentages worksheets →

Write the percentage as a fraction over 100, then simplify.

Example: $25\%=\frac{25}{100}=\frac{1}{4}$

Decimal Percentages

For a percentage like 37.5%, multiply numerator and denominator by 10 first to clear the decimal: $\frac{375}{1000}=\frac{3}{8}$

Practice with free percentages to fractions worksheets →

Improper Fraction to Mixed Number

Divide the numerator by the denominator. The quotient is the whole number part; the remainder becomes the new numerator. The denominator stays the same.

Example: $\frac{9}{4}$ → 9 ÷ 4 = 2 remainder 1 → 2 $\frac{1}{4}$

Mixed Number to Improper Fraction

Multiply the whole number by the denominator and add the numerator. Keep the denominator the same.

Example: 2 $\frac{1}{4}$ → (2 × 4) + 1 = 9 → $\frac{9}{4}$

Practice with free improper fractions worksheets →

Use the free worksheet generators below to create unlimited printable PDFs. Each generator lets you customise difficulty, number ranges, and problems per page. All worksheets include an answer key and are completely free.

• Fractions to Decimals Worksheet Generator
• Decimals to Fractions Worksheet Generator
• Fractions to Percentages Worksheet Generator
• Percentages to Fractions Worksheet Generator
• Simplify Fractions Worksheet Generator
• Improper Fractions to Mixed Numbers Worksheet Generator