Subtracting Fractions with Unlike Denominators Math Example 1

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

Example 1

easy
Subtract 34−16\frac{3}{4} - \frac{1}{6}.

Solution

  1. 1
    Find the LCD of 44 and 66: LCD=12\text{LCD} = 12.
  2. 2
    Convert: 34=912\frac{3}{4} = \frac{9}{12} and 16=212\frac{1}{6} = \frac{2}{12}.
  3. 3
    Subtract: 912−212=712\frac{9}{12} - \frac{2}{12} = \frac{7}{12}.

Answer

712\frac{7}{12}
Just as with addition of unlike fractions, you must first find equivalent fractions with a common denominator. Once the pieces are the same size, subtracting numerators gives the result.

About Subtracting Fractions with Unlike Denominators

Subtracting fractions with different denominators by first rewriting them with a common denominator, then subtracting numerators.

Learn more about Subtracting Fractions with Unlike Denominators →

More Subtracting Fractions with Unlike Denominators Examples

Example 2 medium

A runner completed [formula] of a race, then stopped. If the race is [formula] km long, what fractio

Example 3 easy

Compute [formula].

Example 4 hard

Compute [formula].

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