What is the result of multiplying \(\frac{2}{3}\) and \(\frac{4}{5}\)?
Understand the Problem
The question is asking for the result of multiplying two fractions, rac{2}{3} and rac{4}{5}. To solve this, we multiply the numerators together and the denominators together.
Answer
$\frac{8}{15}$
Answer for screen readers
The result of multiplying the fractions is $\frac{8}{15}$.
Steps to Solve
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Multiply the Numerators First, multiply the numerators of the two fractions together. The numerators are 2 and 4. $$ 2 \times 4 = 8 $$
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Multiply the Denominators Next, multiply the denominators of the two fractions together. The denominators are 3 and 5. $$ 3 \times 5 = 15 $$
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Combine the Results Now, combine the results from the previous steps to form the new fraction. $$ \frac{8}{15} $$
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Simplify if Necessary Check if the fraction can be simplified. In this case, 8 and 15 have no common factors other than 1, so it is already in its simplest form.
The result of multiplying the fractions is $\frac{8}{15}$.
More Information
When you multiply fractions, the process is straightforward: simply multiply the numerators and multiply the denominators. This concept is a fundamental operation in fraction arithmetic and is useful in various areas of math.
Tips
- Forgetting to multiply both the numerator and denominator separately.
- Not checking for simplification even if the problem does not explicitly require it.
