1/3 times 1/5

Understand the Problem

The question is asking us to calculate the product of two fractions, 1/3 and 1/5. We will multiply the numerators and the denominators to find the answer.

Answer

The product is $\frac{1}{15}$.
Answer for screen readers

The product of $\frac{1}{3}$ and $\frac{1}{5}$ is $\frac{1}{15}$.

Steps to Solve

  1. Identify the numerators and denominators

We have two fractions: $\frac{1}{3}$ and $\frac{1}{5}$.

The numerator of the first fraction is 1, and the denominator is 3.

The numerator of the second fraction is also 1, and the denominator is 5.

  1. Multiply the numerators

We multiply the numerators of both fractions:

$$ 1 \times 1 = 1 $$

  1. Multiply the denominators

Next, we multiply the denominators of both fractions:

$$ 3 \times 5 = 15 $$

  1. Write the product as a fraction

Now, we combine the results from the previous steps to form a new fraction:

$$ \frac{1}{15} $$

The product of $\frac{1}{3}$ and $\frac{1}{5}$ is $\frac{1}{15}$.

More Information

When multiplying fractions, the process involves multiplying the numerators together to form the new numerator, and multiplying the denominators together to form the new denominator. This is a fundamental property of fractions in arithmetic.

Tips

  • Forgetting to multiply both the numerators and the denominators separately, which can lead to an incorrect product.
  • Not simplifying the fraction afterwards, if possible.

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