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QUESTION IMAGE

4 2\\frac{4}{5} \\div \\frac{4}{5}

Question

4
2\frac{4}{5} \div \frac{4}{5}

Explanation:

Step1: Convert mixed number to improper fraction

$2\frac{4}{5}=\frac{2\times5 + 4}{5}=\frac{14}{5}$

Step2: Divide by multiplying by reciprocal

$\frac{14}{5}\div\frac{4}{5}=\frac{14}{5}\times\frac{5}{4}$

Step3: Simplify and multiply

The 5s cancel out, so we have $\frac{14}{4}=\frac{7}{2}=3.5$ (or as a mixed number $3\frac{1}{2}$)

Answer:

$\frac{7}{2}$ (or $3\frac{1}{2}$ or $3.5$)