Basic Math Examples

- \frac{6 a^{2} b}{7 a^{2} b^{2}} \cdot (- \frac{14 a^{4} b^{2}}{3 a^{3} b^{2}})

$- \frac{6 a^{2} b}{7 a^{2} b^{2}} \cdot (- \frac{14 a^{4} b^{2}}{3 a^{3} b^{2}})$

Step 1

Cancel the common factor of

3 a^{2} b

$3 a^{2} b$ .

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Step 1.1

Move the leading negative in

- \frac{6 a^{2} b}{7 a^{2} b^{2}}

$- \frac{6 a^{2} b}{7 a^{2} b^{2}}$ into the numerator.

\frac{- 6 a^{2} b}{7 a^{2} b^{2}} \cdot (- \frac{14 a^{4} b^{2}}{3 a^{3} b^{2}})

$\frac{- 6 a^{2} b}{7 a^{2} b^{2}} \cdot (- \frac{14 a^{4} b^{2}}{3 a^{3} b^{2}})$

Step 1.2

Move the leading negative in

- \frac{14 a^{4} b^{2}}{3 a^{3} b^{2}}

$- \frac{14 a^{4} b^{2}}{3 a^{3} b^{2}}$ into the numerator.

\frac{- 6 a^{2} b}{7 a^{2} b^{2}} \cdot \frac{- 14 a^{4} b^{2}}{3 a^{3} b^{2}}

$\frac{- 6 a^{2} b}{7 a^{2} b^{2}} \cdot \frac{- 14 a^{4} b^{2}}{3 a^{3} b^{2}}$

Step 1.3

Factor

3 a^{2} b

$3 a^{2} b$ out of

- 6 a^{2} b

$- 6 a^{2} b$ .

\frac{3 a^{2} b (- 2)}{7 a^{2} b^{2}} \cdot \frac{- 14 a^{4} b^{2}}{3 a^{3} b^{2}}

$\frac{3 a^{2} b (- 2)}{7 a^{2} b^{2}} \cdot \frac{- 14 a^{4} b^{2}}{3 a^{3} b^{2}}$

Step 1.4

Factor

3 a^{2} b

$3 a^{2} b$ out of

3 a^{3} b^{2}

$3 a^{3} b^{2}$ .

\frac{3 a^{2} b (- 2)}{7 a^{2} b^{2}} \cdot \frac{- 14 a^{4} b^{2}}{3 a^{2} b (a b)}

$\frac{3 a^{2} b (- 2)}{7 a^{2} b^{2}} \cdot \frac{- 14 a^{4} b^{2}}{3 a^{2} b (a b)}$

Step 1.5

Cancel the common factor.

$\frac{3 a^{2} b \cdot - 2}{7 a^{2} b^{2}} \cdot \frac{- 14 a^{4} b^{2}}{3 a^{2} b (a b)}$

Step 1.6

Rewrite the expression.

$\frac{- 2}{7 a^{2} b^{2}} \cdot \frac{- 14 a^{4} b^{2}}{a b}$

Step 2

Cancel the common factor of

$7 a^{2} b^{2}$ .

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Step 2.1

Factor

$7 a^{2} b^{2}$ out of

$- 14 a^{4} b^{2}$ .

$\frac{- 2}{7 a^{2} b^{2}} \cdot \frac{7 a^{2} b^{2} (- 2 a^{2})}{a b}$

Step 2.2

Cancel the common factor.

$\frac{- 2}{7 a^{2} b^{2}} \cdot \frac{7 a^{2} b^{2} (- 2 a^{2})}{a b}$

Step 2.3

Rewrite the expression.

$- 2 \cdot \frac{- 2 a^{2}}{a b}$

Step 3

Combine

$- 2$ and

$\frac{- 2 a^{2}}{a b}$ .

$\frac{- 2 (- 2 a^{2})}{a b}$

Step 4

Multiply

$- 2$ by

$- 2$ .

$\frac{4 a^{2}}{a b}$

Step 5

Cancel the common factor of

$a^{2}$ and

$a$ .

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Step 5.1

Factor

$a$ out of

$4 a^{2}$ .

$\frac{a (4 a)}{a b}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

$a$ out of

$a b$ .

$\frac{a (4 a)}{a (b)}$

Step 5.2.2

Cancel the common factor.

$\frac{a (4 a)}{a b}$

Step 5.2.3

Rewrite the expression.

$\frac{4 a}{b}$