Basic Math Examples

$- \frac{48}{81} \div (- \frac{32}{72})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$- \frac{48}{81} (- \frac{72}{32})$

Step 2

Cancel the common factor of $16$ .

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Step 2.1

Move the leading negative in $- \frac{48}{81}$ into the numerator.

$\frac{- 48}{81} (- \frac{72}{32})$

Step 2.2

Move the leading negative in $- \frac{72}{32}$ into the numerator.

$\frac{- 48}{81} \cdot \frac{- 72}{32}$

Step 2.3

Factor $16$ out of $- 48$ .

$\frac{16 (- 3)}{81} \cdot \frac{- 72}{32}$

Step 2.4

Factor $16$ out of $32$ .

$\frac{16 \cdot - 3}{81} \cdot \frac{- 72}{16 \cdot 2}$

Step 2.5

Cancel the common factor.

$\frac{16 \cdot - 3}{81} \cdot \frac{- 72}{16 \cdot 2}$

Step 2.6

Rewrite the expression.

$\frac{- 3}{81} \cdot \frac{- 72}{2}$

Step 3

Cancel the common factor of $9$ .

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Step 3.1

Factor $9$ out of $81$ .

$\frac{- 3}{9 (9)} \cdot \frac{- 72}{2}$

Step 3.2

Factor $9$ out of $- 72$ .

$\frac{- 3}{9 \cdot 9} \cdot \frac{9 \cdot - 8}{2}$

Step 3.3

Cancel the common factor.

$\frac{- 3}{9 \cdot 9} \cdot \frac{9 \cdot - 8}{2}$

Step 3.4

Rewrite the expression.

$\frac{- 3}{9} \cdot \frac{- 8}{2}$

Step 4

Multiply $\frac{- 3}{9}$ by $\frac{- 8}{2}$ .

$\frac{- 3 \cdot - 8}{9 \cdot 2}$

Step 5

Multiply.

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Step 5.1

Multiply $- 3$ by $- 8$ .

$\frac{24}{9 \cdot 2}$

Step 5.2

Multiply $9$ by $2$ .

$\frac{24}{18}$

Step 6

Cancel the common factor of $24$ and $18$ .

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Step 6.1

Factor $6$ out of $24$ .

$\frac{6 (4)}{18}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor $6$ out of $18$ .

$\frac{6 \cdot 4}{6 \cdot 3}$

Step 6.2.2

Cancel the common factor.

$\frac{6 \cdot 4}{6 \cdot 3}$

Step 6.2.3

Rewrite the expression.

$\frac{4}{3}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{4}{3}$

Decimal Form:

$1.\overline{3}$

Mixed Number Form:

$1 \frac{1}{3}$