Algebra Examples

$- \frac{6}{5} \div (- \frac{4}{7})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{6}{5} (- \frac{7}{4})$

Step 2

Cancel the common factor of $2$ .

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Move the leading negative in $- \frac{6}{5}$ into the numerator.

$\frac{- 6}{5} (- \frac{7}{4})$

Move the leading negative in $- \frac{7}{4}$ into the numerator.

$\frac{- 6}{5} \cdot \frac{- 7}{4}$

Factor $2$ out of $- 6$ .

$\frac{2 (- 3)}{5} \cdot \frac{- 7}{4}$

Factor $2$ out of $4$ .

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

Cancel the common factor.

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

Rewrite the expression.

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

Step 3

Multiply $\frac{- 3}{5}$ by $\frac{- 7}{2}$ .

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

Step 4

Multiply $- 3$ by $- 7$ .

$\frac{21}{5 \cdot 2}$

Step 5

Multiply $5$ by $2$ .

$\frac{21}{10}$