Evaluate 3/8+2/3

$\frac{3}{8} + \frac{2}{3}$

Step 1

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

$\frac{3}{8} \cdot \frac{3}{3} + \frac{2}{3}$

Step 2

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{3}{8} \cdot \frac{3}{3} + \frac{2}{3} \cdot \frac{8}{8}$

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 $\frac{3}{3}$ .

$\frac{3 \cdot 3}{8 \cdot 3} + \frac{2}{3} \cdot \frac{8}{8}$

Multiply $8$ by $3$ .

$\frac{3 \cdot 3}{24} + \frac{2}{3} \cdot \frac{8}{8}$

Multiply $\frac{2}{3}$ by $\frac{8}{8}$ .

$\frac{3 \cdot 3}{24} + \frac{2 \cdot 8}{3 \cdot 8}$

Multiply $3$ by $8$ .

$\frac{3 \cdot 3}{24} + \frac{2 \cdot 8}{24}$

Step 4

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 + 2 \cdot 8}{24}$

Step 5

Simplify the numerator.

Multiply $3$ by $3$ .

$\frac{9 + 2 \cdot 8}{24}$

Multiply $2$ by $8$ .

$\frac{9 + 16}{24}$

Add $9$ and $16$ .

$\frac{25}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{25}{24}$

Decimal Form:

$1.041\overline{6}$

Mixed Number Form:

$1 \frac{1}{24}$