Basic Math Examples

$\frac{a}{5} + \frac{a}{10}$

Step 1

To write $\frac{a}{5}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{a}{5} \cdot \frac{2}{2} + \frac{a}{10}$

Step 2

Write each expression with a common denominator of $10$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{a}{5}$ by $\frac{2}{2}$ .

$\frac{a \cdot 2}{5 \cdot 2} + \frac{a}{10}$

Step 2.2

Multiply $5$ by $2$ .

$\frac{a \cdot 2}{10} + \frac{a}{10}$

Step 3

Combine the numerators over the common denominator.

$\frac{a \cdot 2 + a}{10}$

Step 4

Simplify the numerator.

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Step 4.1

Move $2$ to the left of $a$ .

$\frac{2 \cdot a + a}{10}$

Step 4.2

Add $2 a$ and $a$ .

$\frac{3 a}{10}$