To divide the fraction \( \frac{4}{2} \) by \( \frac{7}{5} \), you can follow these steps:
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Invert the divisor: When dividing by a fraction, you multiply by its reciprocal. The reciprocal of \( \frac{7}{5} \) is \( \frac{5}{7} \).
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Multiply the fractions: \[ \frac{4}{2} \div \frac{7}{5} = \frac{4}{2} \times \frac{5}{7} \]
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Perform the multiplication: \[ = \frac{4 \times 5}{2 \times 7} = \frac{20}{14} \]
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Simplify the fraction: \[ \frac{20}{14} = \frac{10}{7} \] (Dividing both the numerator and the denominator by 2)
So, \( \frac{4}{2} \div \frac{7}{5} = \frac{10}{7} \).