9/5 divided by 1/3
Understand the Problem
The question is asking how to divide the fraction 9/5 by another fraction, 1/3. To solve this, we will use the rule that dividing by a fraction is the same as multiplying by its reciprocal. In this case, we will multiply 9/5 by the reciprocal of 1/3, which is 3/1.
Answer
$ \frac{27}{5} $
Answer for screen readers
The result of dividing $ \frac{9}{5} $ by $ \frac{1}{3} $ is $ \frac{27}{5} $.
Steps to Solve
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Identify the fractions We have the fractions $ \frac{9}{5} $ and $ \frac{1}{3} $.
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Find the reciprocal The reciprocal of $ \frac{1}{3} $ is $ \frac{3}{1} $.
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Set up the multiplication To divide $ \frac{9}{5} $ by $ \frac{1}{3} $, we will multiply $ \frac{9}{5} $ by $ \frac{3}{1} $: $$ \frac{9}{5} \times \frac{3}{1} $$
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Multiply the numerators and denominators Multiply the numerators together and the denominators together: $$ \frac{9 \times 3}{5 \times 1} = \frac{27}{5} $$
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Simplify if necessary The fraction $ \frac{27}{5} $ is already in its simplest form.
The result of dividing $ \frac{9}{5} $ by $ \frac{1}{3} $ is $ \frac{27}{5} $.
More Information
When you divide a fraction by another fraction, you are effectively multiplying by the reciprocal of the second fraction. This operation often makes it easier to work with fractions.
Tips
- Forgetting to take the reciprocal of the second fraction: Always remember that dividing by a fraction means multiplying by its reciprocal.
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