Evaluate 9/10(-2/3)

$\frac{9}{10} (- \frac{2}{3})$

Step 1

Cancel the common factor of $3$ .

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

$\frac{9}{10} \cdot \frac{- 2}{3}$

Factor $3$ out of $9$ .

$\frac{3 (3)}{10} \cdot \frac{- 2}{3}$

Cancel the common factor.

$\frac{3 \cdot 3}{10} \cdot \frac{- 2}{3}$

Rewrite the expression.

$\frac{3}{10} \cdot - 2$

$\frac{3}{10} \cdot - 2$

Step 2

Cancel the common factor of $2$ .

Factor $2$ out of $10$ .

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

Factor $2$ out of $- 2$ .

$\frac{3}{2 \cdot 5} \cdot (2 \cdot - 1)$

Cancel the common factor.

$\frac{3}{2 \cdot 5} \cdot (2 \cdot - 1)$

Rewrite the expression.

$\frac{3}{5} \cdot - 1$

$\frac{3}{5} \cdot - 1$

Step 3

Combine $\frac{3}{5}$ and $- 1$ .

$\frac{3 \cdot - 1}{5}$

Step 4

Simplify the expression.

Multiply $3$ by $- 1$ .

$\frac{- 3}{5}$

Move the negative in front of the fraction.

$- \frac{3}{5}$

$- \frac{3}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{5}$

Decimal Form:

$- 0.6$

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