Evaluate 2(-3/10)-4/15

$2 (- \frac{3}{10}) - \frac{4}{15}$

Simplify each term.

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Cancel the common factor of $2$ .

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Move the leading negative in $- \frac{3}{10}$ into the numerator.

$2 (\frac{- 3}{10}) - \frac{4}{15}$

Factor $2$ out of $10$ .

$2 \frac{- 3}{2 (5)} - \frac{4}{15}$

Cancel the common factor.

$2 \frac{- 3}{2 \cdot 5} - \frac{4}{15}$

Rewrite the expression.

$\frac{- 3}{5} - \frac{4}{15}$

Move the negative in front of the fraction.

$- \frac{3}{5} - \frac{4}{15}$

To write $- \frac{3}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{3}{5} \cdot \frac{3}{3} - \frac{4}{15}$

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

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Multiply $\frac{3}{5}$ and $\frac{3}{3}$ .

$- \frac{3 \cdot 3}{5 \cdot 3} - \frac{4}{15}$

Multiply $5$ by $3$ .

$- \frac{3 \cdot 3}{15} - \frac{4}{15}$

Combine the numerators over the common denominator.

$\frac{- 3 \cdot 3 - 4}{15}$

Simplify the numerator.

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Multiply $- 3$ by $3$ .

$\frac{- 9 - 4}{15}$

Subtract $4$ from $- 9$ .

$\frac{- 13}{15}$

Move the negative in front of the fraction.

$- \frac{13}{15}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{13}{15}$

Decimal Form:

$- 0.8\overline{6}$

Evaluate 2(-3/10)-4/15

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