Basic Math Examples

- \frac{15}{32} \div \frac{3}{4}

$- \frac{15}{32} \div \frac{3}{4}$

Step 1

To divide by a fraction, multiply by its reciprocal.

- \frac{15}{32} \cdot \frac{4}{3}

$- \frac{15}{32} \cdot \frac{4}{3}$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Move the leading negative in

- \frac{15}{32}

$- \frac{15}{32}$ into the numerator.

\frac{- 15}{32} \cdot \frac{4}{3}

$\frac{- 15}{32} \cdot \frac{4}{3}$

Step 2.2

Factor

3

$3$ out of

- 15

$- 15$ .

\frac{3 (- 5)}{32} \cdot \frac{4}{3}

$\frac{3 (- 5)}{32} \cdot \frac{4}{3}$

Step 2.3

Cancel the common factor.

\frac{3 \cdot - 5}{32} \cdot \frac{4}{3}

$\frac{3 \cdot - 5}{32} \cdot \frac{4}{3}$

Step 2.4

Rewrite the expression.

\frac{- 5}{32} \cdot 4

$\frac{- 5}{32} \cdot 4$

\frac{- 5}{32} \cdot 4

$\frac{- 5}{32} \cdot 4$

Step 3

Cancel the common factor of

4

$4$ .

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Step 3.1

Factor

4

$4$ out of

32

$32$ .

\frac{- 5}{4 (8)} \cdot 4

$\frac{- 5}{4 (8)} \cdot 4$

Step 3.2

Cancel the common factor.

\frac{- 5}{4 \cdot 8} \cdot 4

$\frac{- 5}{4 \cdot 8} \cdot 4$

Step 3.3

Rewrite the expression.

\frac{- 5}{8}

$\frac{- 5}{8}$

\frac{- 5}{8}

$\frac{- 5}{8}$

Step 4

Move the negative in front of the fraction.

- \frac{5}{8}

$- \frac{5}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

- \frac{5}{8}

$- \frac{5}{8}$

Decimal Form:

- 0.625

$- 0.625$

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

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