Evaluate 3/8+1/6

$\frac{3}{8} + \frac{1}{6}$

Step 1

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

$\frac{3}{8} \cdot \frac{3}{3} + \frac{1}{6}$

Step 2

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{3}{8} \cdot \frac{3}{3} + \frac{1}{6} \cdot \frac{4}{4}$

Step 3

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

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

$\frac{3 \cdot 3}{8 \cdot 3} + \frac{1}{6} \cdot \frac{4}{4}$

Multiply $8$ by $3$ .

$\frac{3 \cdot 3}{24} + \frac{1}{6} \cdot \frac{4}{4}$

Multiply $\frac{1}{6}$ by $\frac{4}{4}$ .

$\frac{3 \cdot 3}{24} + \frac{4}{6 \cdot 4}$

Multiply $6$ by $4$ .

$\frac{3 \cdot 3}{24} + \frac{4}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 + 4}{24}$

Step 5

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{9 + 4}{24}$

Add $9$ and $4$ .

$\frac{13}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{13}{24}$

Decimal Form:

$0.541\overline{6}$