Algebra Examples

\frac{3}{2} \div \frac{8}{5}

$\frac{3}{2} \div \frac{8}{5}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{3}{2} \cdot \frac{5}{8}

$\frac{3}{2} \cdot \frac{5}{8}$

Step 2

Multiply

\frac{3}{2} \cdot \frac{5}{8}

$\frac{3}{2} \cdot \frac{5}{8}$ .

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Step 2.1

Multiply

\frac{3}{2}

$\frac{3}{2}$ by

\frac{5}{8}

$\frac{5}{8}$ .

\frac{3 \cdot 5}{2 \cdot 8}

$\frac{3 \cdot 5}{2 \cdot 8}$

Step 2.2

Multiply

3

$3$ by

5

$5$ .

\frac{15}{2 \cdot 8}

$\frac{15}{2 \cdot 8}$

Step 2.3

Multiply

2

$2$ by

8

$8$ .

\frac{15}{16}

$\frac{15}{16}$

\frac{15}{16}

$\frac{15}{16}$