Problem

$\frac{39}{65} \div \frac{3}{26}$

Answer

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Answer

\(\boxed{\frac{26}{5}}\) or \(\boxed{5.2}\) is the final answer.

Steps

Step 1 :Given the problem \(\frac{39}{65} \div \frac{3}{26}\)

Step 2 :Remember that dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of a fraction is obtained by swapping its numerator and denominator.

Step 3 :Find the reciprocal of \(\frac{3}{26}\), which is \(\frac{26}{3}\)

Step 4 :Then multiply \(\frac{39}{65}\) with \(\frac{26}{3}\)

Step 5 :The result of the division is \(\frac{26}{5}\) or 5.2 in decimal form.

Step 6 :\(\boxed{\frac{26}{5}}\) or \(\boxed{5.2}\) is the final answer.

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