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

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

Simplify each term.

Cancel the common factor of $3$ .

Factor $3$ out of $- 3$ .

$3 (- 1) \frac{2}{15} + \frac{3}{4}$

Factor $3$ out of $15$ .

$3 \cdot - 1 \frac{2}{3 \cdot 5} + \frac{3}{4}$

Cancel the common factor.

$3 \cdot - 1 \frac{2}{3 \cdot 5} + \frac{3}{4}$

Rewrite the expression.

$- 1 (\frac{2}{5}) + \frac{3}{4}$

Rewrite $- 1 (\frac{2}{5})$ as $- (\frac{2}{5})$ .

$- \frac{2}{5} + \frac{3}{4}$

To write $- \frac{2}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{5}$ by $\frac{4}{4}$ .

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

Multiply $5$ by $4$ .

$- \frac{2 \cdot 4}{20} + \frac{3}{4} \cdot \frac{5}{5}$

Multiply $\frac{3}{4}$ by $\frac{5}{5}$ .

$- \frac{2 \cdot 4}{20} + \frac{3 \cdot 5}{4 \cdot 5}$

Multiply $4$ by $5$ .

$- \frac{2 \cdot 4}{20} + \frac{3 \cdot 5}{20}$

Combine the numerators over the common denominator.

$\frac{- 2 \cdot 4 + 3 \cdot 5}{20}$

Simplify the numerator.

Multiply $- 2$ by $4$ .

$\frac{- 8 + 3 \cdot 5}{20}$

Multiply $3$ by $5$ .

$\frac{- 8 + 15}{20}$

Add $- 8$ and $15$ .

$\frac{7}{20}$

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{20}$

Decimal Form:

$0.35$