Pre-Algebra Examples

$- \frac{48}{90} \div (- \frac{32}{108})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{48}{90} (- \frac{108}{32})$

Step 2

Cancel the common factor of $16$ .

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Step 2.1

Move the leading negative in $- \frac{48}{90}$ into the numerator.

$\frac{- 48}{90} (- \frac{108}{32})$

Step 2.2

Move the leading negative in $- \frac{108}{32}$ into the numerator.

$\frac{- 48}{90} \cdot \frac{- 108}{32}$

Step 2.3

Factor $16$ out of $- 48$ .

$\frac{16 (- 3)}{90} \cdot \frac{- 108}{32}$

Step 2.4

Factor $16$ out of $32$ .

$\frac{16 \cdot - 3}{90} \cdot \frac{- 108}{16 \cdot 2}$

Step 2.5

Cancel the common factor.

$\frac{16 \cdot - 3}{90} \cdot \frac{- 108}{16 \cdot 2}$

Step 2.6

Rewrite the expression.

$\frac{- 3}{90} \cdot \frac{- 108}{2}$

Step 3

Cancel the common factor of $18$ .

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Step 3.1

Factor $18$ out of $90$ .

$\frac{- 3}{18 (5)} \cdot \frac{- 108}{2}$

Step 3.2

Factor $18$ out of $- 108$ .

$\frac{- 3}{18 \cdot 5} \cdot \frac{18 \cdot - 6}{2}$

Step 3.3

Cancel the common factor.

$\frac{- 3}{18 \cdot 5} \cdot \frac{18 \cdot - 6}{2}$

Step 3.4

Rewrite the expression.

$\frac{- 3}{5} \cdot \frac{- 6}{2}$

Step 4

Multiply $\frac{- 3}{5}$ by $\frac{- 6}{2}$ .

$\frac{- 3 \cdot - 6}{5 \cdot 2}$

Step 5

Multiply.

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Step 5.1

Multiply $- 3$ by $- 6$ .

$\frac{18}{5 \cdot 2}$

Step 5.2

Multiply $5$ by $2$ .

$\frac{18}{10}$

Step 6

Cancel the common factor of $18$ and $10$ .

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Step 6.1

Factor $2$ out of $18$ .

$\frac{2 (9)}{10}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $2$ out of $10$ .

$\frac{2 \cdot 9}{2 \cdot 5}$

Step 6.2.2

Cancel the common factor.

$\frac{2 \cdot 9}{2 \cdot 5}$

Step 6.2.3

Rewrite the expression.

$\frac{9}{5}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{5}$

Decimal Form:

$1.8$

Mixed Number Form:

$1 \frac{4}{5}$