Basic Math Examples

$\frac{\frac{7}{8}}{\frac{1}{2} \cdot \frac{1}{4}}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{7}{8} \cdot \frac{1}{\frac{1}{2} \cdot \frac{1}{4}}$

Step 2

Multiply $\frac{1}{2}$ by $\frac{1}{4}$ .

$\frac{7}{8} \cdot \frac{1}{\frac{1}{2 \cdot 4}}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Multiply $2$ by $4$ .

$\frac{7}{8} \cdot \frac{1}{\frac{1}{8}}$

Step 3.2

Multiply the numerator by the reciprocal of the denominator.

$\frac{7}{8} (1 \cdot 8)$

Step 3.3

Cancel the common factor of $8$ .

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Step 3.3.1

Factor $8$ out of $1 \cdot 8$ .

$\frac{7}{8} (8 \cdot 1)$

Step 3.3.2

Cancel the common factor.

$\frac{7}{8} (8 \cdot 1)$

Step 3.3.3

Rewrite the expression.

$7$