To convert a fraction to a decimal, divide the top number (numerator) by the bottom number (denominator).

Super quick method

Think of the fraction bar as a division sign:
topbottom=top÷bottom\frac{\text{top}}{\text{bottom}}=\text{top}\div \text{bottom}bottomtop​=top÷bottom.

  • Example: 14\frac{1}{4}41​
    • Do 1÷4=0.251÷4=0.251÷4=0.25 → decimal is 0.25.
  • Example: 58\frac{5}{8}85​
    • Do 5÷8=0.6255÷8=0.6255÷8=0.625 → decimal is 0.625.

If you have a calculator, just type top ÷ bottom and read the answer as a decimal.

Step‑by‑step without a calculator (long division)

Use long division when you can’t or don’t want to use a calculator.

  1. Write the numerator inside the division bracket and the denominator outside.
  1. If the numerator is smaller, add a decimal point and zeros (like 1.000).
  1. Divide until:
    • The remainder becomes 0 (terminating decimal), or
    • You see a repeating pattern (repeating decimal).

Example: 18\frac{1}{8}81​

  • Set up 1÷81÷81÷8.
  • 8 does not go into 1, so write 1.000 and place a decimal point.
  • 8 goes into 10 once (write 0.1), remainder 2.
  • Bring down 0 → 20; 8 goes into 20 twice (0.12), remainder 4.
  • Bring down 0 → 40; 8 goes into 40 five times.
  • Answer: 0.125.

Special shortcut: denominators 10, 100, 1000…

If the denominator is 10, 100, 1000, etc., you can just “place the decimal point” without full division.

  • Step 1: Make the denominator 10, 100, 1000, … by multiplying top and bottom by the same number.
  • Step 2: Count zeros in the denominator; move the decimal point in the numerator that many places from the right.

Example: 34\frac{3}{4}43​

  • Multiply top and bottom by 25 to get 75100\frac{75}{100}10075​.
  • Two zeros in 100 → write 75 as 0.75.

Example: 316\frac{3}{16}163​

  • Multiply top and bottom by 625 to get 187510000\frac{1875}{10000}100001875​.
  • Four zeros in 10000 → write 1875 as 0.1875.

Mixed numbers to decimals

If you have a mixed number (like 2142\frac{1}{4}241​):

  1. Convert to an improper fraction.
 * 214=2×4+14=942\frac{1}{4}=\frac{2×4+1}{4}=\frac{9}{4}241​=42×4+1​=49​.
  1. Divide numerator by denominator: 9÷4=2.259÷4=2.259÷4=2.25.

Terminating vs repeating decimals

When you convert a fraction, you’ll get either:

  • Terminating decimal – division ends with remainder 0 (e.g., 14=0.25\frac{1}{4}=0.2541​=0.25).
  • Repeating decimal – digits repeat forever (e.g., 13≈0.333…\frac{1}{3}≈0.333…31​≈0.333…).

For repeating decimals, people often write a bar over the repeating digit, like 0.3‾0.\overline{3}0.3 for 13\frac{1}{3}31​.

Tiny story to remember it

Imagine the fraction as a little “division problem in disguise.”
The top number is saying, “I want to be shared,” and the bottom number is “how many pieces to share into.”
When you actually do the sharing (division), the decimal is just the “real world” version of how big each piece is.

TL;DR:

  • Turn ab\frac{a}{b}ba​ into a÷ba÷ba÷b.
  • Use a calculator or long division.
  • If the denominator is 10, 100, 1000, etc., just move the decimal point in the top number.

Information gathered from public forums or data available on the internet and portrayed here.