What is 15 divided by 1/3?

Understand the Problem

The question is asking for the result of dividing the number 15 by the fraction 1/3. To solve this, we will multiply 15 by the reciprocal of 1/3, which is 3.

Answer

$45$
Answer for screen readers

The final answer is $45$.

Steps to Solve

  1. Identify the reciprocal of the fraction
    To divide by a fraction, we can multiply by its reciprocal. The reciprocal of $\frac{1}{3}$ is $3$.

  2. Set up the multiplication
    Now we can rewrite the division of $15$ by the fraction $\frac{1}{3}$ as a multiplication problem:
    $$ 15 \div \frac{1}{3} = 15 \times 3 $$

  3. Perform the multiplication
    Next, we perform the multiplication to find the answer:
    $$ 15 \times 3 = 45 $$

The final answer is $45$.

More Information

Dividing by a fraction is equivalent to multiplying by its reciprocal. This rule can simplify many arithmetic problems involving fractions.

Tips

  • Confusing division by a fraction with simple division, which can lead to incorrect results. Remember to always multiply by the reciprocal when dividing by a fraction.
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