Basic Math Examples

$- \frac{18}{17} \cdot \frac{3}{28} \cdot \frac{34}{27} \cdot (- \frac{8}{9})$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Move the leading negative in $- \frac{18}{17}$ into the numerator.

$\frac{- 18}{17} \cdot \frac{3}{28} \cdot \frac{34}{27} \cdot (- \frac{8}{9})$

Step 1.2

Factor $2$ out of $- 18$ .

$\frac{2 (- 9)}{17} \cdot \frac{3}{28} \cdot \frac{34}{27} \cdot (- \frac{8}{9})$

Step 1.3

Factor $2$ out of $28$ .

$\frac{2 \cdot - 9}{17} \cdot \frac{3}{2 \cdot 14} \cdot \frac{34}{27} \cdot (- \frac{8}{9})$

Step 1.4

Cancel the common factor.

$\frac{2 \cdot - 9}{17} \cdot \frac{3}{2 \cdot 14} \cdot \frac{34}{27} \cdot (- \frac{8}{9})$

Step 1.5

Rewrite the expression.

$\frac{- 9}{17} \cdot \frac{3}{14} \cdot \frac{34}{27} \cdot (- \frac{8}{9})$

Step 2

Multiply $\frac{- 9}{17}$ by $\frac{3}{14}$ .

$\frac{- 9 \cdot 3}{17 \cdot 14} \cdot \frac{34}{27} \cdot (- \frac{8}{9})$

Step 3

Multiply.

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Step 3.1

Multiply $- 9$ by $3$ .

$\frac{- 27}{17 \cdot 14} \cdot \frac{34}{27} \cdot (- \frac{8}{9})$

Step 3.2

Multiply $17$ by $14$ .

$\frac{- 27}{238} \cdot \frac{34}{27} \cdot (- \frac{8}{9})$

Step 4

Cancel the common factor of $27$ .

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Step 4.1

Factor $27$ out of $- 27$ .

$\frac{27 (- 1)}{238} \cdot \frac{34}{27} \cdot (- \frac{8}{9})$

Step 4.2

Cancel the common factor.

$\frac{27 \cdot - 1}{238} \cdot \frac{34}{27} \cdot (- \frac{8}{9})$

Step 4.3

Rewrite the expression.

$\frac{- 1}{238} \cdot 34 \cdot (- \frac{8}{9})$

Step 5

Cancel the common factor of $34$ .

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Step 5.1

Factor $34$ out of $238$ .

$\frac{- 1}{34 (7)} \cdot 34 \cdot (- \frac{8}{9})$

Step 5.2

Cancel the common factor.

$\frac{- 1}{34 \cdot 7} \cdot 34 \cdot (- \frac{8}{9})$

Step 5.3

Rewrite the expression.

$\frac{- 1}{7} \cdot (- \frac{8}{9})$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{7} \cdot (- \frac{8}{9})$

Step 7

Multiply $- \frac{1}{7} (- \frac{8}{9})$ .

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Step 7.1

Multiply $- 1$ by $- 1$ .

$1 (\frac{1}{7}) \frac{8}{9}$

Step 7.2

Multiply $\frac{1}{7}$ by $1$ .

$\frac{1}{7} \cdot \frac{8}{9}$

Step 7.3

Multiply $\frac{1}{7}$ by $\frac{8}{9}$ .

$\frac{8}{7 \cdot 9}$

Step 7.4

Multiply $7$ by $9$ .

$\frac{8}{63}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{63}$

Decimal Form:

$0.\overline{126984}$