Simplify 3/4+5/8

$\frac{3}{4} + \frac{5}{8}$

Step 1

To write $\frac{3}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{3}{4} \cdot \frac{2}{2} + \frac{5}{8}$

Step 2

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{3}{4}$ by $\frac{2}{2}$ .

$\frac{3 \cdot 2}{4 \cdot 2} + \frac{5}{8}$

Multiply $4$ by $2$ .

$\frac{3 \cdot 2}{8} + \frac{5}{8}$

Step 3

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 + 5}{8}$

Step 4

Simplify the numerator.

Multiply $3$ by $2$ .

$\frac{6 + 5}{8}$

Add $6$ and $5$ .

$\frac{11}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{8}$

Decimal Form:

$1.375$

Mixed Number Form:

$1 \frac{3}{8}$