Basic Math Examples

$\frac{24}{\frac{5}{20}} = \frac{n}{70}$

Step 1

Rewrite the equation as $\frac{n}{70} = \frac{24}{\frac{5}{20}}$ .

$\frac{n}{70} = \frac{24}{\frac{5}{20}}$

Step 2

Multiply both sides of the equation by $70$ .

$70 \frac{n}{70} = 70 \frac{24}{\frac{5}{20}}$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $70$ .

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Step 3.1.1.1

Cancel the common factor.

$70 \frac{n}{70} = 70 \frac{24}{\frac{5}{20}}$

Step 3.1.1.2

Rewrite the expression.

$n = 70 \frac{24}{\frac{5}{20}}$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $70 \frac{24}{\frac{5}{20}}$ .

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Step 3.2.1.1

Cancel the common factor of $5$ and $20$ .

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Step 3.2.1.1.1

Factor $5$ out of $5$ .

$n = 70 \frac{24}{\frac{5 (1)}{20}}$

Step 3.2.1.1.2

Cancel the common factors.

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Step 3.2.1.1.2.1

Factor $5$ out of $20$ .

$n = 70 \frac{24}{\frac{5 \cdot 1}{5 \cdot 4}}$

Step 3.2.1.1.2.2

Cancel the common factor.

$n = 70 \frac{24}{\frac{5 \cdot 1}{5 \cdot 4}}$

Step 3.2.1.1.2.3

Rewrite the expression.

$n = 70 \frac{24}{\frac{1}{4}}$

Step 3.2.1.2

Multiply the numerator by the reciprocal of the denominator.

$n = 70 (24 \cdot 4)$

Step 3.2.1.3

Multiply $70 (24 \cdot 4)$ .

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Step 3.2.1.3.1

Multiply $24$ by $4$ .

$n = 70 \cdot 96$

Step 3.2.1.3.2

Multiply $70$ by $96$ .

$n = 6720$