To divide the fraction \(\frac{5}{7}\) by the fraction \(\frac{2}{35}\), we can multiply by the reciprocal of the second fraction. Here are the steps:
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Write the division as multiplication by the reciprocal: \[ \frac{5}{7} \div \frac{2}{35} = \frac{5}{7} \times \frac{35}{2} \]
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Multiply the numerators and the denominators: \[ = \frac{5 \times 35}{7 \times 2} = \frac{175}{14} \]
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Simplify the fraction. We can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 7: \[ \frac{175 \div 7}{14 \div 7} = \frac{25}{2} \]
Thus, the result is: \[ \frac{5}{7} \div \frac{2}{35} = \frac{25}{2} \]
Answer:
A. five sevenths divided by StartFraction 2 Over 35 EndFraction equals \(\frac{25}{2}\) (which can also be expressed as 12.5 or \(12 \frac{1}{2}\) if desired).