Algebra Examples

$- \frac{25}{32} \div \frac{5}{6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{25}{32} \cdot \frac{6}{5}$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Move the leading negative in $- \frac{25}{32}$ into the numerator.

$\frac{- 25}{32} \cdot \frac{6}{5}$

Step 2.2

Factor $5$ out of $- 25$ .

$\frac{5 (- 5)}{32} \cdot \frac{6}{5}$

Step 2.3

Cancel the common factor.

$\frac{5 \cdot - 5}{32} \cdot \frac{6}{5}$

Step 2.4

Rewrite the expression.

$\frac{- 5}{32} \cdot 6$

Step 3

Cancel the common factor of $2$ .

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Step 3.1

Factor $2$ out of $32$ .

$\frac{- 5}{2 (16)} \cdot 6$

Step 3.2

Factor $2$ out of $6$ .

$\frac{- 5}{2 \cdot 16} \cdot (2 \cdot 3)$

Step 3.3

Cancel the common factor.

$\frac{- 5}{2 \cdot 16} \cdot (2 \cdot 3)$

Step 3.4

Rewrite the expression.

$\frac{- 5}{16} \cdot 3$

Step 4

Combine $\frac{- 5}{16}$ and $3$ .

$\frac{- 5 \cdot 3}{16}$

Step 5

Multiply $- 5$ by $3$ .

$\frac{- 15}{16}$

Step 6

Move the negative in front of the fraction.

$- \frac{15}{16}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{15}{16}$

Decimal Form:

$- 0.9375$