Subtracting Fractions with Unlike Denominators Math Example 3

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

Example 3

easy
Compute 56โˆ’14\frac{5}{6} - \frac{1}{4}.

Solution

  1. 1
    LCD of 66 and 44: LCD=12\text{LCD} = 12. Convert: 56=1012\frac{5}{6} = \frac{10}{12} and 14=312\frac{1}{4} = \frac{3}{12}.
  2. 2
    Subtract: 1012โˆ’312=712\frac{10}{12} - \frac{3}{12} = \frac{7}{12}.

Answer

712\frac{7}{12}
Use the LCD to create equal-sized pieces, then subtract only the numerators. Always verify that the final fraction is fully simplified.

About Subtracting Fractions with Unlike Denominators

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

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