Basic Math Examples

\frac{5}{8} \div \frac{1}{2} \cdot \frac{1}{4}

$\frac{5}{8} \div \frac{1}{2} \cdot \frac{1}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

\frac{5}{8} \cdot 2 \cdot \frac{1}{4}

$\frac{5}{8} \cdot 2 \cdot \frac{1}{4}$

Step 2

Cancel the common factor of

2

$2$ .

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Step 2.1

Factor

2

$2$ out of

\frac{5}{8} \cdot 2

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

2 \cdot \frac{5}{8} \cdot \frac{1}{4}

$2 \cdot \frac{5}{8} \cdot \frac{1}{4}$

Step 2.2

Factor

2

$2$ out of

4

$4$ .

2 \cdot \frac{5}{8} \cdot \frac{1}{2 (2)}

$2 \cdot \frac{5}{8} \cdot \frac{1}{2 (2)}$

Step 2.3

Cancel the common factor.

$2 \cdot \frac{5}{8} \cdot \frac{1}{2 \cdot 2}$

Step 2.4

Rewrite the expression.

$\frac{5}{8} \cdot \frac{1}{2}$

$\frac{5}{8} \cdot \frac{1}{2}$

Step 3

Multiply

$\frac{5}{8}$ by

$\frac{1}{2}$ .

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

Step 4

Multiply

$8$ by

$2$ .

$\frac{5}{16}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{16}$

Decimal Form:

$0.3125$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$