Multiplying Fractions Math Example 3

Follow the full solution, then compare it with the other examples linked below.

Example 3

easy
Multiply 35×29\frac{3}{5} \times \frac{2}{9}.

Solution

  1. 1
    Cancel the common factor of 3 between 3 and 9: 15×23\frac{1}{5} \times \frac{2}{3}.
  2. 2
    Multiply: 1×25×3=215\frac{1 \times 2}{5 \times 3} = \frac{2}{15}.

Answer

215\frac{2}{15}
Look for common factors to cancel before multiplying to keep the numbers small.

About Multiplying Fractions

To multiply fractions, multiply the numerators together and the denominators together: ab×cd=a×cb×d\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}. Simplify the result by cancelling common factors.

Learn more about Multiplying Fractions →

More Multiplying Fractions Examples

Example 1 easy

Multiply [formula].

Example 2 medium

Compute [formula].

Example 4 medium

A tank is [formula] full. If [formula] of the water is used, what fraction of the tank is still full

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