What is 3/4 divided by 4/5?
Understand the Problem
The question is asking for the result of dividing the fraction 3/4 by the fraction 4/5. To solve this, we can use the rule that dividing by a fraction is equivalent to multiplying by its reciprocal.
Answer
$ \frac{15}{16} $
Answer for screen readers
The result of dividing the fraction $ \frac{3}{4} $ by the fraction $ \frac{4}{5} $ is $ \frac{15}{16} $.
Steps to Solve
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Identify the fractions We need to divide the fraction $ \frac{3}{4} $ by the fraction $ \frac{4}{5} $.
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Reciprocal of the second fraction To divide by a fraction, we multiply by its reciprocal. The reciprocal of $ \frac{4}{5} $ is $ \frac{5}{4} $.
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Multiply the fractions Now we can rewrite the division as multiplication: $$ \frac{3}{4} \div \frac{4}{5} = \frac{3}{4} \times \frac{5}{4} $$
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Multiply the numerators and denominators Now multiply the numerators and denominators: $$ \frac{3 \times 5}{4 \times 4} = \frac{15}{16} $$
The result of dividing the fraction $ \frac{3}{4} $ by the fraction $ \frac{4}{5} $ is $ \frac{15}{16} $.
More Information
Dividing fractions by multiplying with the reciprocal is a fundamental technique in fraction arithmetic.
Tips
- Forgetting to take the reciprocal of the second fraction before multiplication. Always remember that dividing by a fraction is the same as multiplying by its reciprocal.
- Not simplifying the final answer if possible. However, in this case, $ \frac{15}{16} $ cannot be simplified further.
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