Which is bigger, 5/8 or 7/12?

Problem: Compare the fractions $\frac{5}{8}$ and $\frac{7}{12}$ to determine which one is bigger.

Steps

1. Find a common denominator
   $$\text{LCM}(8, 12) = 24$$
2. Convert both fractions to have the denominator 24
   $$\frac{5}{8} = \frac{5 \times 3}{8 \times 3} = \frac{15}{24} \quad \text{and} \quad \frac{7}{12} = \frac{7 \times 2}{12 \times 2} = \frac{14}{24}$$
3. Compare the numerators
   $$\frac{15}{24} > \frac{14}{24}$$