Basic Math Examples

$- \frac{7}{9} \div \frac{5}{9} (- \frac{5}{7})$

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Move the leading negative in $- \frac{7}{9}$ into the numerator.

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$- 7 (\frac{1}{5}) (- \frac{5}{7})$

Step 3

Combine $- 7$ and $\frac{1}{5}$ .

$\frac{- 7}{5} (- \frac{5}{7})$

Step 4

Cancel the common factor of $7$ .

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Step 4.1

Move the leading negative in $- \frac{5}{7}$ into the numerator.

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

Step 4.2

Factor $7$ out of $- 7$ .

$\frac{7 (- 1)}{5} \cdot \frac{- 5}{7}$

Step 4.3

Cancel the common factor.

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

Step 4.4

Rewrite the expression.

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

Step 5

Cancel the common factor of $5$ .

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Step 5.1

Factor $5$ out of $- 5$ .

$\frac{- 1}{5} \cdot (5 (- 1))$

Step 5.2

Cancel the common factor.

$\frac{- 1}{5} \cdot (5 \cdot - 1)$

Step 5.3

Rewrite the expression.

$- 1 \cdot - 1$

Step 6

Multiply $- 1$ by $- 1$ .

$1$