7/8 divided by 1/4
Understand the Problem
The question is asking us to solve the division of two fractions, specifically 7/8 divided by 1/4. The approach involves multiplying the first fraction by the reciprocal of the second fraction.
Answer
The answer is $\frac{7}{2}$.
Answer for screen readers
The final answer is $\frac{7}{2}$.
Steps to Solve
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Identify the fractions We have two fractions: $\frac{7}{8}$ and $\frac{1}{4}$.
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Find the reciprocal of the second fraction The reciprocal of $\frac{1}{4}$ is obtained by flipping the numerator and denominator: $$ \text{Reciprocal of } \frac{1}{4} = \frac{4}{1} $$
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Multiply the first fraction by the reciprocal of the second Now we multiply $\frac{7}{8}$ by $\frac{4}{1}$: $$ \frac{7}{8} \times \frac{4}{1} $$
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Perform the multiplication Multiply the numerators and the denominators: $$ = \frac{7 \times 4}{8 \times 1} = \frac{28}{8} $$
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Simplify the result To simplify $\frac{28}{8}$, find the greatest common divisor: $$ \frac{28 \div 4}{8 \div 4} = \frac{7}{2} $$
The final answer is $\frac{7}{2}$.
More Information
Dividing fractions can often be easier than expected! Remember, instead of directly dividing, you multiply by the reciprocal. This practice is useful in many mathematical contexts.
Tips
- Forgetting to flip the second fraction when finding its reciprocal.
- Not simplifying the final result to its lowest terms.
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