Which fraction is larger

Explanation

Find the common LCD for the denominators

LCD (12, 5) = 60

Then build the fractions so that their common denominator is 60, and then make the comparison

\(\frac{7}{12} = \frac{7}{12} \cdot \frac55  = \frac{35}{60}\)

\(\frac35 = \frac35 \cdot \frac{12}{12}  = \frac{36}{60}\)

\(\frac{36}{60} > \frac{35}{60}\), Thus \(\frac35 > \frac{7}{12}\)