Evaluate 1/4+1/5

$\frac{1}{4} + \frac{1}{5}$

Step 1

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Step 2

To write $\frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

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

Step 3

Write each expression with a common denominator of $20$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{1}{4}$ by $\frac{5}{5}$ .

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

Multiply $4$ by $5$ .

$\frac{5}{20} + \frac{1}{5} \cdot \frac{4}{4}$

Multiply $\frac{1}{5}$ by $\frac{4}{4}$ .

$\frac{5}{20} + \frac{4}{5 \cdot 4}$

Multiply $5$ by $4$ .

$\frac{5}{20} + \frac{4}{20}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 + 4}{20}$

Step 5

Add $5$ and $4$ .

$\frac{9}{20}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{20}$

Decimal Form:

$0.45$