Basic Math Examples

$- \frac{15}{27} \cdot \frac{18}{40}$

Step 1

Cancel the common factor of $5$ .

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Step 1.1

Move the leading negative in $- \frac{15}{27}$ into the numerator.

$\frac{- 15}{27} \cdot \frac{18}{40}$

Step 1.2

Factor $5$ out of $- 15$ .

$\frac{5 (- 3)}{27} \cdot \frac{18}{40}$

Step 1.3

Factor $5$ out of $40$ .

$\frac{5 \cdot - 3}{27} \cdot \frac{18}{5 \cdot 8}$

Step 1.4

Cancel the common factor.

$\frac{5 \cdot - 3}{27} \cdot \frac{18}{5 \cdot 8}$

Step 1.5

Rewrite the expression.

$\frac{- 3}{27} \cdot \frac{18}{8}$

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Factor $9$ out of $27$ .

$\frac{- 3}{9 (3)} \cdot \frac{18}{8}$

Step 2.2

Factor $9$ out of $18$ .

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

Step 2.3

Cancel the common factor.

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

Step 2.4

Rewrite the expression.

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

Step 3

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

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

Step 4

Multiply.

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Step 4.1

Multiply $- 3$ by $2$ .

$\frac{- 6}{3 \cdot 8}$

Step 4.2

Multiply $3$ by $8$ .

$\frac{- 6}{24}$

Step 5

Cancel the common factor of $- 6$ and $24$ .

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Step 5.1

Factor $6$ out of $- 6$ .

$\frac{6 (- 1)}{24}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor $6$ out of $24$ .

$\frac{6 \cdot - 1}{6 \cdot 4}$

Step 5.2.2

Cancel the common factor.

$\frac{6 \cdot - 1}{6 \cdot 4}$

Step 5.2.3

Rewrite the expression.

$\frac{- 1}{4}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{4}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{4}$

Decimal Form:

$- 0.25$