Subtracting Fractions with Like Denominators Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Compute 1115−415\frac{11}{15} - \frac{4}{15}.

Solution

  1. 1
    Subtract numerators: 11−4=711 - 4 = 7. Keep denominator: 715\frac{7}{15}.
  2. 2
    gcd⁡(7,15)=1\gcd(7, 15) = 1, so the fraction is in simplest form.

Answer

715\frac{7}{15}
With identical denominators, only the numerators participate in the subtraction. The denominator is left unchanged throughout.

About Subtracting Fractions with Like Denominators

Subtracting fractions that share the same denominator by subtracting the numerators and keeping the denominator.

Learn more about Subtracting Fractions with Like Denominators →

More Subtracting Fractions with Like Denominators Examples

Example 1 easy

Subtract [formula].

Example 2 medium

A board is [formula] of a metre long. A piece of [formula] of a metre is cut off. What length remain

Example 4 hard

You need [formula] cups of milk for a recipe, but only have [formula] of a cup. How much more milk d

← All Subtracting Fractions with Like Denominators Examples Subtracting Fractions with Like Denominators Concept