Algebra Examples

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

Step 1

To divide by a fraction, multiply by its reciprocal.

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

Step 2

Cancel the common factor of $2$ .

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Step 2.1

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

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

Step 2.2

Factor $2$ out of $- 6$ .

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

Step 2.3

Factor $2$ out of $4$ .

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

Step 2.4

Cancel the common factor.

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

Step 2.5

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 $2$ .

$\frac{- 21}{10}$

Step 6

Move the negative in front of the fraction.

$- \frac{21}{10}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{21}{10}$

Decimal Form:

$- 2.1$

Mixed Number Form:

$- 2 \frac{1}{10}$