Basic Math Examples

$\frac{- 98}{99} \cdot \frac{27 a}{175 a}$

Step 1

Cancel the common factor of $7$ .

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Step 1.1

Factor $7$ out of $- 98$ .

$\frac{7 (- 14)}{99} \cdot \frac{27 a}{175 a}$

Step 1.2

Factor $7$ out of $175 a$ .

$\frac{7 (- 14)}{99} \cdot \frac{27 a}{7 (25 a)}$

Step 1.3

Cancel the common factor.

$\frac{7 \cdot - 14}{99} \cdot \frac{27 a}{7 (25 a)}$

Step 1.4

Rewrite the expression.

$\frac{- 14}{99} \cdot \frac{27 a}{25 a}$

Step 2

Cancel the common factor of $9$ .

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Step 2.1

Factor $9$ out of $99$ .

$\frac{- 14}{9 (11)} \cdot \frac{27 a}{25 a}$

Step 2.2

Factor $9$ out of $27 a$ .

$\frac{- 14}{9 (11)} \cdot \frac{9 (3 a)}{25 a}$

Step 2.3

Cancel the common factor.

$\frac{- 14}{9 \cdot 11} \cdot \frac{9 (3 a)}{25 a}$

Step 2.4

Rewrite the expression.

$\frac{- 14}{11} \cdot \frac{3 a}{25 a}$

Step 3

Multiply $\frac{- 14}{11}$ by $\frac{3 a}{25 a}$ .

$\frac{- 14 (3 a)}{11 (25 a)}$

Step 4

Multiply.

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Step 4.1

Multiply $3$ by $- 14$ .

$\frac{- 42 a}{11 (25 a)}$

Step 4.2

Multiply $25$ by $11$ .

$\frac{- 42 a}{275 a}$

Step 5

Cancel the common factor of $a$ .

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Step 5.1

Cancel the common factor.

$\frac{- 42 a}{275 a}$

Step 5.2

Rewrite the expression.

$\frac{- 42}{275}$

Step 6

Move the negative in front of the fraction.

$- \frac{42}{275}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{42}{275}$

Decimal Form:

$- 0.15\overline{27}$