N Numeratibase

Free math tool

Fraction Simplifier With Steps

Reduce a fraction to simplest form, show the GCD used, and see the decimal and mixed-number version when it applies.

Reset
18 / 24 42 / 56 15 / 4

Direct answer

Simplest form

15/4 simplifies to 15/4.

Simplest form 15/4
Mixed number 3 3/4
Decimal 3.75

Steps

  1. Start with 15/4.
  2. The greatest common divisor of 15 and 4 is 1.
  3. Divide both parts by 1 to get 15/4.

Why it works

A fraction stays equal when you divide the numerator and denominator by the same nonzero number. Using the greatest common divisor removes every common factor in one step.

Common mistakes

  • Forgetting that a negative denominator should be rewritten with the negative sign in the numerator.
  • Reducing only the numerator or only the denominator.
  • Stopping before you divide by the greatest common divisor.

Worked examples

Simplify 18/24

18/24 = 3/4 because the GCD is 6.

Simplify 15/4

15/4 is already reduced, and as a mixed number it is 3 3/4.

Practice

  • 12/18
  • 27/45
  • -14/21