Algebra Examples

$6 (- 4) (- \frac{5}{6}) (- \frac{3}{4})$

Step 1

Cancel the common factor of $2$ .

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Step 1.1

Move the leading negative in $- \frac{3}{4}$ into the numerator.

$6 (- 4) (- \frac{5}{6}) \cdot \frac{- 3}{4}$

Step 1.2

Factor $2$ out of $6 (- 4) (- \frac{5}{6})$ .

$2 (3 \cdot - 4 (- \frac{5}{6})) \cdot \frac{- 3}{4}$

Step 1.3

Factor $2$ out of $4$ .

$2 (3 \cdot - 4 (- \frac{5}{6})) \cdot \frac{- 3}{2 (2)}$

Step 1.4

Cancel the common factor.

$2 (3 \cdot - 4 (- \frac{5}{6})) \cdot \frac{- 3}{2 \cdot 2}$

Step 1.5

Rewrite the expression.

$3 \cdot - 4 (- \frac{5}{6}) \cdot \frac{- 3}{2}$

Step 2

Multiply.

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Step 2.1

Multiply $3$ by $- 4$ .

$- 12 (- \frac{5}{6}) \cdot \frac{- 3}{2}$

Step 2.2

Multiply $- 1$ by $- 12$ .

$12 (\frac{5}{6}) \cdot \frac{- 3}{2}$

Step 3

Combine $12$ and $\frac{5}{6}$ .

$\frac{12 \cdot 5}{6} \cdot \frac{- 3}{2}$

Step 4

Multiply $12$ by $5$ .

$\frac{60}{6} \cdot \frac{- 3}{2}$

Step 5

Multiply $\frac{60}{6}$ by $\frac{- 3}{2}$ .

$\frac{60 \cdot - 3}{6 \cdot 2}$

Step 6

Simplify the expression.

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Step 6.1

Multiply $60$ by $- 3$ .

$\frac{- 180}{6 \cdot 2}$

Step 6.2

Multiply $6$ by $2$ .

$\frac{- 180}{12}$

Step 6.3

Divide $- 180$ by $12$ .

$- 15$