$$ \frac{7}{8}-\frac{7}{12} $$ Write your answer as a fraction in simplest form.

Question

UpStudy AI · Accepted Answer

1. Rewrite each fraction with a common denominator. The denominators are 8 and 12; the least common multiple is $$24$$.

2. Convert $$\frac{7}{8}$$ to a fraction with denominator 24:
   $$
   \frac{7}{8} = \frac{7 \times 3}{8 \times 3} = \frac{21}{24}
   $$

3. Convert $$\frac{7}{12}$$ to a fraction with denominator 24:
   $$
   \frac{7}{12} = \frac{7 \times 2}{12 \times 2} = \frac{14}{24}
   $$

4. Subtract the two fractions:
   $$
   \frac{21}{24} - \frac{14}{24} = \frac{21 - 14}{24} = \frac{7}{24}
   $$

5. The fraction $$\frac{7}{24}$$ is already in simplest form.

The final answer is $$\frac{7}{24}$$.
The answer is $$\frac{7}{24}$$.

\[ \frac{7}{8}-\frac{7}{12} \] Write your answer as a fraction in simplest form.