Problem #94 · October 29, 2026

Common fractions

Fruit trees are planted on

\frac{3}{5}

of the orchard, and

\frac{5}{6}

of the fruit trees are apple trees. What part of the orchard do the apple trees occupy?

WORKED EXAMPLE

Solution

To find a part of a part, the fractions are multiplied:

\frac{3}{5}\cdot\frac{5}{6}=\frac{15}{30}=\frac{1}{2}

. If we cancel both occurrences of 5 with each other, we immediately get

\frac{3}{6}=\frac{1}{2}