Decimal conversions

Math

Definition

Decimal conversions involve changing numbers between decimal, fraction, and percent forms. Understanding these conversions is essential for comparing values expressed in different formats.

How It Works

  1. Decimal to fraction: write the decimal over its place value and simplify
  2. Decimal to percent: multiply by 100 and add the % sign
  3. Fraction to decimal: divide the numerator by the denominator
  4. Percent to decimal: divide by 100

Examples

  • 0.75 = 3/4 = 75%
  • 1/8 = 0.125 = 12.5%
  • 33.3% ≈ 1/3 ≈ 0.333

Related Terms

Comparing fractions Percent conversions Fraction operations

Study This Concept

Practice decimal conversions with free review games in these units:

Pre-Algebra Unit 2: Fractions and Decimals