Math Problem Statement

How do you multiply fractions

Solution

To multiply fractions, follow these steps:

  1. Multiply the numerators (top numbers) of the fractions together. This will be the new numerator.
  2. Multiply the denominators (bottom numbers) of the fractions together. This will be the new denominator.
  3. Simplify the fraction if possible by dividing both the numerator and the denominator by their greatest common factor.

Example

Let's multiply 23×45\frac{2}{3} \times \frac{4}{5}:

  1. Multiply the numerators: 2×4=82 \times 4 = 8.
  2. Multiply the denominators: 3×5=153 \times 5 = 15.
  3. So, 23×45=815\frac{2}{3} \times \frac{4}{5} = \frac{8}{15}.

This fraction cannot be simplified further, so the final answer is 815\frac{8}{15}.

Would you like more details, or have any questions?

Related Questions

  1. How do you divide fractions?
  2. How can you add fractions with different denominators?
  3. What is a reciprocal, and how is it used in fraction multiplication?
  4. How can you simplify a fraction after multiplication?
  5. What happens if you multiply a fraction by a whole number?

Tip: Always check if you can simplify each fraction before multiplying; this can make calculations easier.

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Math Problem Analysis

Mathematical Concepts

Fractions
Multiplication of Fractions

Formulas

(a/b) * (c/d) = (a * c) / (b * d)

Theorems

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Suitable Grade Level

Grades 4-6