15/2 ÷ 5/6
Understand the Problem
The question is asking us to perform a division operation on fractions. We will need to divide the first fraction (15/2) by the second fraction (5/6), which involves multiplying by the reciprocal of the second fraction.
Answer
$9$
Answer for screen readers
The final answer is $9$.
Steps to Solve
- Identify the fractions to divide
We have the fractions $\frac{15}{2}$ and $\frac{5}{6}$. To divide these fractions, we will multiply the first fraction by the reciprocal of the second fraction.
- Find the reciprocal of the second fraction
The reciprocal of $\frac{5}{6}$ is $\frac{6}{5}$.
- Set up the multiplication instead of division
Now, rewrite the division as multiplication:
$$ \frac{15}{2} \div \frac{5}{6} = \frac{15}{2} \times \frac{6}{5} $$
- Multiply the fractions
Now multiply the numerators and the denominators:
$$ \frac{15 \times 6}{2 \times 5} = \frac{90}{10} $$
- Simplify the resulting fraction
Now simplify $\frac{90}{10}$:
$$ \frac{90}{10} = 9 $$
The final answer is $9$.
More Information
Dividing fractions involves multiplying by the reciprocal, which simplifies calculations. In this example, we clarified the concept of reciprocals and simplified the final fraction.
Tips
- Forgetting to use the reciprocal of the second fraction when dividing.
- Failing to simplify the final fraction, leading to an incorrect answer.
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