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fractions is 1-6. \\(\\div \\frac{2}{5}=1/5\\) \\(3\\) \\(7\\div \\frac…

Question

fractions is 1-6. \\(\div \frac{2}{5}=1/5\\) \\(3\\) \\(7\div \frac{3}{7}\\)

Explanation:

Step1: Recall division of fractions rule

To divide by a fraction, multiply by its reciprocal. So, \(7\div\frac{3}{7}=7\times\frac{7}{3}\)

Step2: Multiply the integer and fraction

Multiply 7 (which can be written as \(\frac{7}{1}\)) by \(\frac{7}{3}\). So, \(\frac{7}{1}\times\frac{7}{3}=\frac{7\times7}{1\times3}\)

Step3: Calculate the product

\(7\times7 = 49\) and \(1\times3 = 3\), so the result is \(\frac{49}{3}\) or \(16\frac{1}{3}\)

Answer:

\(\frac{49}{3}\) (or \(16\frac{1}{3}\))