how to multiply fractions

How to Multiply Fractions

Multiplying fractions is a straightforward process. Here’s a step-by-step guide:

Step 1: Multiply the Numerators

• The numerator is the top number of a fraction.
• Multiply the numerators of the two fractions to get the numerator of the answer.

Step 2: Multiply the Denominators

• The denominator is the bottom number of a fraction.
• Multiply the denominators of the two fractions to get the denominator of the answer.

Step 3: Simplify the Fraction (if needed)

• If possible, simplify the resulting fraction by dividing both numerator and denominator by their greatest common divisor (GCD).

Example

Multiply: 23×45\frac{2}{3}\times \frac{4}{5}32​×54​

1. Multiply numerators: 2×4=82\times 4=82×4=8
2. Multiply denominators: 3×5=153\times 5=153×5=15
3. Result: 815\frac{8}{15}158​ (already in simplest form)

Summary Formula

ab×cd=a×cb×d\frac{a}{b}\times \frac{c}{d}=\frac{a\times c}{b\times d}ba​×dc​=b×da×c​

If you want, I can also help with examples or explain how to multiply mixed numbers!