2/3 : 4/5
Understand the Problem
The question involves the division of two fractions, specifically 2/3 divided by 4/5. To solve it, we will multiply 2/3 by the reciprocal of 4/5, which is 5/4.
Answer
$ \frac{5}{6} $
Answer for screen readers
The final answer is $ \frac{5}{6} $.
Steps to Solve
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Identify the reciprocal To divide by a fraction, we multiply by its reciprocal. For the fraction $ \frac{4}{5} $, the reciprocal is $ \frac{5}{4} $.
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Set up the multiplication Now, we can rewrite the division as a multiplication problem: $$ \frac{2}{3} \div \frac{4}{5} = \frac{2}{3} \times \frac{5}{4} $$
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Multiply the numerators and denominators Multiply the numerators and the denominators: $$ \frac{2 \times 5}{3 \times 4} = \frac{10}{12} $$
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Simplify the fraction Now, we simplify $ \frac{10}{12} $ by finding the greatest common divisor (GCD) of 10 and 12, which is 2: $$ \frac{10 \div 2}{12 \div 2} = \frac{5}{6} $$
The final answer is $ \frac{5}{6} $.
More Information
Dividing fractions involves multiplying by the reciprocal. Simplifying is crucial to find the simplest form of the answer. This method is applicable to any fraction division.
Tips
- Forgetting to take the reciprocal of the divisor (second fraction).
- Not simplifying the final result, leading to an improper answer.
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