Simplify 4 2/5*10 - Math help

$4 \frac{2}{5} \cdot 10$

Convert $4 \frac{2}{5}$ to an improper fraction.

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A mixed number is an addition of its whole and fractional parts.

$(4 + \frac{2}{5}) \cdot 10$

Add $4$ and $\frac{2}{5}$ .

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To write $4$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$(4 \cdot \frac{5}{5} + \frac{2}{5}) \cdot 10$

Combine $4$ and $\frac{5}{5}$ .

$(\frac{4 \cdot 5}{5} + \frac{2}{5}) \cdot 10$

Combine the numerators over the common denominator.

$\frac{4 \cdot 5 + 2}{5} \cdot 10$

Simplify the numerator.

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Multiply $4$ by $5$ .

$\frac{20 + 2}{5} \cdot 10$

Add $20$ and $2$ .

$\frac{22}{5} \cdot 10$

Cancel the common factor of $5$ .

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Factor $5$ out of $10$ .

$\frac{22}{5} \cdot (5 (2))$

Cancel the common factor.

$\frac{22}{5} \cdot (5 \cdot 2)$

Rewrite the expression.

$22 \cdot 2$

Multiply $22$ by $2$ .

$44$

Simplify 4 2/5*10

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