To solve the division of fractions problem \( \frac{2}{5} \div \frac{8}{25} \), we can multiply by the reciprocal of the second fraction. Here's how it's done step-by-step:
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Write the division as multiplication by the reciprocal: \[ \frac{2}{5} \div \frac{8}{25} = \frac{2}{5} \times \frac{25}{8} \]
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Multiply the fractions: \[ = \frac{2 \times 25}{5 \times 8} \] \[ = \frac{50}{40} \]
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Simplify \( \frac{50}{40} \):
- Both the numerator and the denominator can be divided by 10: \[ = \frac{5}{4} \]
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Convert \( \frac{5}{4} \) to a mixed number: \[ = 1 \frac{1}{4} \]
Therefore, the answer is \( \text{B) } 1 \frac{1}{4} \).