Basic Math Examples

$\frac{1}{5} + \frac{3}{25} + \frac{4}{125}$

Step 1

Find the common denominator.

Tap for more steps...

Step 1.1

Multiply $\frac{1}{5}$ by $\frac{25}{25}$ .

$\frac{1}{5} \cdot \frac{25}{25} + \frac{3}{25} + \frac{4}{125}$

Step 1.2

Multiply $\frac{1}{5}$ by $\frac{25}{25}$ .

$\frac{25}{5 \cdot 25} + \frac{3}{25} + \frac{4}{125}$

Step 1.3

Multiply $\frac{3}{25}$ by $\frac{5}{5}$ .

$\frac{25}{5 \cdot 25} + \frac{3}{25} \cdot \frac{5}{5} + \frac{4}{125}$

Step 1.4

Multiply $\frac{3}{25}$ by $\frac{5}{5}$ .

$\frac{25}{5 \cdot 25} + \frac{3 \cdot 5}{25 \cdot 5} + \frac{4}{125}$

Step 1.5

Multiply $5$ by $25$ .

$\frac{25}{125} + \frac{3 \cdot 5}{25 \cdot 5} + \frac{4}{125}$

Step 1.6

Reorder the factors of $25 \cdot 5$ .

$\frac{25}{125} + \frac{3 \cdot 5}{5 \cdot 25} + \frac{4}{125}$

Step 1.7

Multiply $5$ by $25$ .

$\frac{25}{125} + \frac{3 \cdot 5}{125} + \frac{4}{125}$

Step 2

Combine the numerators over the common denominator.

$\frac{25 + 3 \cdot 5 + 4}{125}$

Step 3

Simplify the expression.

Tap for more steps...

Step 3.1

Multiply $3$ by $5$ .

$\frac{25 + 15 + 4}{125}$

Step 3.2

Add $25$ and $15$ .

$\frac{40 + 4}{125}$

Step 3.3

Add $40$ and $4$ .

$\frac{44}{125}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{44}{125}$

Decimal Form:

$0.352$