Multiplying Fractions Math Example 1

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

Example 1

easy
Multiply 23×57\frac{2}{3} \times \frac{5}{7}.

Solution

  1. 1
    Multiply the numerators: 2×5=102 \times 5 = 10.
  2. 2
    Multiply the denominators: 3×7=213 \times 7 = 21.
  3. 3
    The product is 1021\frac{10}{21}, which is already in simplest form since gcd⁡(10,21)=1\gcd(10, 21) = 1.

Answer

1021\frac{10}{21}
To multiply fractions, multiply numerator by numerator and denominator by denominator. No common denominator is needed, unlike addition.

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 2 medium

Compute [formula].

Example 3 easy

Multiply [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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