Question
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When \( \frac{5}{8} \div \frac{3}{4} \), the answer is A. \( \frac{3}{8} \) B. \( \frac{1}{2} \) C. 5

Ask by Harris Beck. in the United States
Feb 26,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

The answer is \( \frac{5}{6} \), which is not among the provided options.

Solution

To solve the problem \( \frac{5}{8} \div \frac{3}{4} \), we can follow these steps: 1. **Understand Division of Fractions**: Dividing by a fraction is the same as multiplying by its reciprocal. Therefore, we can rewrite the expression as: \[ \frac{5}{8} \div \frac{3}{4} = \frac{5}{8} \times \frac{4}{3} \] 2. **Multiply the Fractions**: Now we multiply the numerators and the denominators: \[ \frac{5 \times 4}{8 \times 3} = \frac{20}{24} \] 3. **Simplify the Fraction**: Next, we simplify \( \frac{20}{24} \) by finding the greatest common divisor (GCD) of 20 and 24, which is 4: \[ \frac{20 \div 4}{24 \div 4} = \frac{5}{6} \] Now, let's check the options provided: - A. \( \frac{3}{8} \) - B. \( \frac{1}{2} \) - C. 5 None of the options match \( \frac{5}{6} \). Therefore, it seems there might be a misunderstanding in the options provided. The correct answer to \( \frac{5}{8} \div \frac{3}{4} \) is \( \frac{5}{6} \).

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Bonus Knowledge

To find the answer to \( \frac{5}{8} \div \frac{3}{4} \), you actually multiply \( \frac{5}{8} \) by the reciprocal of \( \frac{3}{4} \), which is \( \frac{4}{3} \). So, it becomes: \[ \frac{5}{8} \times \frac{4}{3} = \frac{20}{24} \] Now, simplify \( \frac{20}{24} \) by dividing both numerator and denominator by 4: \[ \frac{20 \div 4}{24 \div 4} = \frac{5}{6} \] Oh wait, that doesn’t match any of the answer choices! It looks like there was a mistake in your options or in the calculation task presented. Sometimes, these little confusions happen in math problems! So, to navigate through similar problems, always check for the least common denominator when dividing fractions. This can help clear up any tangled numbers. And remember, practicing with real-life examples, like dividing your pizza slices with friends, makes math more delicious and fun!

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