Evaluate 5/8+1/10

$\frac{5}{8} + \frac{1}{10}$

Step 1

To write $\frac{5}{8}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{5}{8} \cdot \frac{5}{5} + \frac{1}{10}$

Step 2

To write $\frac{1}{10}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{5}{8} \cdot \frac{5}{5} + \frac{1}{10} \cdot \frac{4}{4}$

Step 3

Write each expression with a common denominator of $40$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5}{8}$ by $\frac{5}{5}$ .

$\frac{5 \cdot 5}{8 \cdot 5} + \frac{1}{10} \cdot \frac{4}{4}$

Multiply $8$ by $5$ .

$\frac{5 \cdot 5}{40} + \frac{1}{10} \cdot \frac{4}{4}$

Multiply $\frac{1}{10}$ by $\frac{4}{4}$ .

$\frac{5 \cdot 5}{40} + \frac{4}{10 \cdot 4}$

Multiply $10$ by $4$ .

$\frac{5 \cdot 5}{40} + \frac{4}{40}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 5 + 4}{40}$

Step 5

Simplify the numerator.

Multiply $5$ by $5$ .

$\frac{25 + 4}{40}$

Add $25$ and $4$ .

$\frac{29}{40}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{40}$

Decimal Form:

$0.725$