Evaluate 1/3+1/8

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

Step 1

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

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

Step 2

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

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

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 $\frac{8}{8}$ .

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

Multiply $3$ by $8$ .

$\frac{8}{24} + \frac{1}{8} \cdot \frac{3}{3}$

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

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

Multiply $8$ by $3$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Add $8$ and $3$ .

$\frac{11}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{24}$

Decimal Form:

$0.458\overline{3}$