Basic Math Examples

- \frac{15}{14} \div (- \frac{9}{7})

$- \frac{15}{14} \div (- \frac{9}{7})$

Step 1

To divide by a fraction, multiply by its reciprocal.

- \frac{15}{14} (- \frac{7}{9})

$- \frac{15}{14} (- \frac{7}{9})$

Step 2

Cancel the common factor of

3

$3$ .

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Step 2.1

Move the leading negative in

- \frac{15}{14}

$- \frac{15}{14}$ into the numerator.

\frac{- 15}{14} (- \frac{7}{9})

$\frac{- 15}{14} (- \frac{7}{9})$

Step 2.2

Move the leading negative in

- \frac{7}{9}

$- \frac{7}{9}$ into the numerator.

\frac{- 15}{14} \cdot \frac{- 7}{9}

$\frac{- 15}{14} \cdot \frac{- 7}{9}$

Step 2.3

Factor

3

$3$ out of

- 15

$- 15$ .

\frac{3 (- 5)}{14} \cdot \frac{- 7}{9}

$\frac{3 (- 5)}{14} \cdot \frac{- 7}{9}$

Step 2.4

Factor

3

$3$ out of

9

$9$ .

\frac{3 \cdot - 5}{14} \cdot \frac{- 7}{3 \cdot 3}

$\frac{3 \cdot - 5}{14} \cdot \frac{- 7}{3 \cdot 3}$

Step 2.5

Cancel the common factor.

$\frac{3 \cdot - 5}{14} \cdot \frac{- 7}{3 \cdot 3}$

Step 2.6

Rewrite the expression.

$\frac{- 5}{14} \cdot \frac{- 7}{3}$

Step 3

Cancel the common factor of

$7$ .

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Step 3.1

Factor

$7$ out of

$14$ .

$\frac{- 5}{7 (2)} \cdot \frac{- 7}{3}$

Step 3.2

Factor

$7$ out of

$- 7$ .

$\frac{- 5}{7 \cdot 2} \cdot \frac{7 \cdot - 1}{3}$

Step 3.3

Cancel the common factor.

$\frac{- 5}{7 \cdot 2} \cdot \frac{7 \cdot - 1}{3}$

Step 3.4

Rewrite the expression.

$\frac{- 5}{2} \cdot \frac{- 1}{3}$

Step 4

Multiply

$\frac{- 5}{2}$ by

$\frac{- 1}{3}$ .

$\frac{- 5 \cdot - 1}{2 \cdot 3}$

Step 5

Multiply

$- 5$ by

$- 1$ .

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

Step 6

Multiply

$2$ by

$3$ .

$\frac{5}{6}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{6}$

Decimal Form:

$0.8\overline{3}$