Solve for m 5/14=m/42

$\frac{5}{14} = \frac{m}{42}$

Rewrite the equation as $\frac{m}{42} = \frac{5}{14}$ .

$\frac{m}{42} = \frac{5}{14}$

Multiply both sides of the equation by $42$ .

$42 \cdot \frac{m}{42} = 42 \cdot \frac{5}{14}$

Simplify both sides of the equation.

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Cancel the common factor of $42$ .

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Cancel the common factor.

$42 \cdot \frac{m}{42} = 42 \cdot \frac{5}{14}$

Rewrite the expression.

$m = 42 \cdot \frac{5}{14}$

Simplify $42 \cdot \frac{5}{14}$ .

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Cancel the common factor of $14$ .

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Factor $14$ out of $42$ .

$m = 14 (3) \cdot \frac{5}{14}$

Cancel the common factor.

$m = 14 \cdot 3 \cdot \frac{5}{14}$

Rewrite the expression.

$m = 3 \cdot 5$

Multiply $3$ by $5$ .

$m = 15$

Solve for m 5/14=m/42

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