3/5 divided by 1/6
Understand the Problem
The question is asking us to perform the division of the fraction 3/5 by the fraction 1/6. To solve this, we will multiply 3/5 by the reciprocal of 1/6, which is 6/1.
Answer
$\frac{18}{5}$ or $3 \frac{3}{5}$
Answer for screen readers
The final answer is $\frac{18}{5}$ or $3 \frac{3}{5}$.
Steps to Solve
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Identify the fractions We have the fraction $\frac{3}{5}$ and we want to divide it by $\frac{1}{6}$.
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Find the reciprocal The reciprocal of the fraction $\frac{1}{6}$ is $\frac{6}{1}$.
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Multiply the fractions Now, we multiply $\frac{3}{5}$ by the reciprocal of $\frac{1}{6}$: $$ \frac{3}{5} \times \frac{6}{1} $$
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Perform the multiplication Multiply the numerators and the denominators:
- Numerator: $3 \times 6 = 18$
- Denominator: $5 \times 1 = 5$
So we have: $$ \frac{18}{5} $$
- Simplify if necessary In this case, $\frac{18}{5}$ is already in simplest form but can be expressed as a mixed number: $$ 3 \frac{3}{5} $$
The final answer is $\frac{18}{5}$ or $3 \frac{3}{5}$.
More Information
Dividing by a fraction is the same as multiplying by its reciprocal. This method applies to all fractions, allowing us to simplify division problems significantly.
Tips
- Not finding the reciprocal of the fraction correctly. Always ensure to switch the numerator and denominator.
- Forgetting to multiply both the numerator and denominator when multiplying the fractions. Double-check your multiplication to avoid errors.
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