Pre-Algebra Examples

$- \frac{2}{3} (- 9 y) \frac{3}{2} (8 x) \cdot 1$

Step 1

Cancel the common factor of $3$ .

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Step 1.1

Move the leading negative in $- \frac{2}{3}$ into the numerator.

$\frac{- 2}{3} \cdot ((- 9 y) (\frac{3}{2})) \cdot (8 x) \cdot 1$

Step 1.2

Factor $3$ out of $(- 9 y) (\frac{3}{2})$ .

$\frac{- 2}{3} \cdot (3 (- 3 y \frac{3}{2})) \cdot (8 x) \cdot 1$

Step 1.3

Cancel the common factor.

$\frac{- 2}{3} \cdot (3 (- 3 y \frac{3}{2})) \cdot (8 x) \cdot 1$

Step 1.4

Rewrite the expression.

$- 2 \cdot (- 3 y \frac{3}{2}) \cdot (8 x) \cdot 1$

Step 2

Combine $- 3$ and $\frac{3}{2}$ .

$- 2 \cdot (y \frac{- 3 \cdot 3}{2}) \cdot (8 x) \cdot 1$

Step 3

Multiply $- 3$ by $3$ .

$- 2 \cdot (y \frac{- 9}{2}) \cdot (8 x) \cdot 1$

Step 4

Combine $y$ and $\frac{- 9}{2}$ .

$- 2 \cdot \frac{y \cdot - 9}{2} \cdot (8 x) \cdot 1$

Step 5

Combine $- 2$ and $\frac{y \cdot - 9}{2}$ .

$\frac{- 2 (y \cdot - 9)}{2} \cdot (8 x) \cdot 1$

Step 6

Simplify the expression.

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Step 6.1

Multiply $- 9$ by $- 2$ .

$\frac{18 y}{2} \cdot (8 x) \cdot 1$

Step 6.2

Rewrite using the commutative property of multiplication.

$8 \frac{18 y}{2} x \cdot 1$

Step 7

Cancel the common factor of $2$ .

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Step 7.1

Factor $2$ out of $8$ .

$2 (4) \frac{18 y}{2} x \cdot 1$

Step 7.2

Cancel the common factor.

$2 \cdot 4 \frac{18 y}{2} x \cdot 1$

Step 7.3

Rewrite the expression.

$4 (18 y) x \cdot 1$

Step 8

Multiply.

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Step 8.1

Multiply $18$ by $4$ .

$72 y x \cdot 1$

Step 8.2

Multiply $72$ by $1$ .

$72 y x$