Evaluate (-1/3)+3/8

$(- \frac{1}{3}) + \frac{3}{8}$

Step 1

To write $- \frac{1}{3}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$- \frac{1}{3} \cdot \frac{8}{8} + \frac{3}{8}$

Step 2

To write $\frac{3}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{1}{3} \cdot \frac{8}{8} + \frac{3}{8} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{3}$ by $\frac{8}{8}$ .

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

Multiply $3$ by $8$ .

$- \frac{8}{24} + \frac{3}{8} \cdot \frac{3}{3}$

Multiply $\frac{3}{8}$ by $\frac{3}{3}$ .

$- \frac{8}{24} + \frac{3 \cdot 3}{8 \cdot 3}$

Multiply $8$ by $3$ .

$- \frac{8}{24} + \frac{3 \cdot 3}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 8 + 3 \cdot 3}{24}$

Step 5

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{- 8 + 9}{24}$

Add $- 8$ and $9$ .

$\frac{1}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{24}$

Decimal Form:

$0.041\overline{6}$