Pre-Algebra Examples

$(\frac{3}{7}) (\frac{4}{8})$

Step 1

To find the reciprocal, divide $1$ by the number given.

$\frac{1}{(\frac{3}{7}) (\frac{4}{8})}$

Step 2

Simplify.

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Step 2.1

Cancel the common factor of $4$ and $8$ .

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Step 2.1.1

Factor $4$ out of $4$ .

$\frac{1}{\frac{3}{7} \cdot \frac{4 (1)}{8}}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $4$ out of $8$ .

$\frac{1}{\frac{3}{7} \cdot \frac{4 \cdot 1}{4 \cdot 2}}$

Step 2.1.2.2

Cancel the common factor.

$\frac{1}{\frac{3}{7} \cdot \frac{4 \cdot 1}{4 \cdot 2}}$

Step 2.1.2.3

Rewrite the expression.

$\frac{1}{\frac{3}{7} \cdot \frac{1}{2}}$

Step 2.2

Multiply $\frac{3}{7}$ by $\frac{1}{2}$ .

$\frac{1}{\frac{3}{7 \cdot 2}}$

Step 2.3

Multiply $7$ by $2$ .

$\frac{1}{\frac{3}{14}}$

Step 2.4

Multiply the numerator by the reciprocal of the denominator.

$1 (\frac{14}{3})$

Step 2.5

Multiply $\frac{14}{3}$ by $1$ .

$\frac{14}{3}$