Basic Math Examples

$\frac{y}{5} + \frac{y}{2}$

Step 1

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

$\frac{y}{5} \cdot \frac{2}{2} + \frac{y}{2}$

Step 2

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

$\frac{y}{5} \cdot \frac{2}{2} + \frac{y}{2} \cdot \frac{5}{5}$

Step 3

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

Tap for more steps...

Step 3.1

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

$\frac{y \cdot 2}{5 \cdot 2} + \frac{y}{2} \cdot \frac{5}{5}$

Step 3.2

Multiply $5$ by $2$ .

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

Step 3.3

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

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

Step 3.4

Multiply $2$ by $5$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Tap for more steps...

Step 5.1

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

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

Step 5.2

Move $5$ to the left of $y$ .

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

Step 5.3

Add $2 y$ and $5 y$ .

$\frac{7 y}{10}$