Solve 2/3 - 1/6 - 3/12: Complete Fraction Subtraction Guide

List the multiples of each number: 3: 3, 6, 9, 12... 6: 6, 12, 18... 12: 12, 24... The smallest number that appears in all lists is 12.

You can only add or subtract fractions when they have the same denominator. Different denominators represent different-sized pieces, so you must convert them to the same size first.

Always check if your answer can be simplified! $\frac{3}{12}$ and $\frac{1}{4}$ are equal, but simplified form is preferred. Divide both numerator and denominator by their greatest common factor.

Ask: "What times the original denominator equals 12?"

• $\frac{2}{3}$: 3 × 4 = 12, so multiply by $\frac{4}{4}$
• $\frac{1}{6}$: 6 × 2 = 12, so multiply by $\frac{2}{2}$
• $\frac{3}{12}$: Already has denominator 12!

Yes! Subtraction is performed left to right. First find $\frac{2}{3} - \frac{1}{6} = \frac{4}{6} - \frac{1}{6} = \frac{3}{6} = \frac{1}{2}$, then $\frac{1}{2} - \frac{3}{12} = \frac{6}{12} - \frac{3}{12} = \frac{3}{12} = \frac{1}{4}$.