Basic Math Examples

$\frac{9}{5} + \frac{3}{y}$

Step 1

To write $\frac{9}{5}$ as a fraction with a common denominator, multiply by $\frac{y}{y}$ .

$\frac{9}{5} \cdot \frac{y}{y} + \frac{3}{y}$

Step 2

To write $\frac{3}{y}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{9}{5} \cdot \frac{y}{y} + \frac{3}{y} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of $5 y$ , by multiplying each by an appropriate factor of $1$ .

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Step 3.1

Multiply $\frac{9}{5}$ by $\frac{y}{y}$ .

$\frac{9 y}{5 y} + \frac{3}{y} \cdot \frac{5}{5}$

Step 3.2

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

$\frac{9 y}{5 y} + \frac{3 \cdot 5}{y \cdot 5}$

Step 3.3

Reorder the factors of $y \cdot 5$ .

$\frac{9 y}{5 y} + \frac{3 \cdot 5}{5 y}$

Step 4

Combine the numerators over the common denominator.

$\frac{9 y + 3 \cdot 5}{5 y}$

Step 5

Factor $3$ out of $9 y + 3 \cdot 5$ .

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Step 5.1

Factor $3$ out of $9 y$ .

$\frac{3 (3 y) + 3 \cdot 5}{5 y}$

Step 5.2

Factor $3$ out of $3 \cdot 5$ .

$\frac{3 (3 y) + 3 (5)}{5 y}$

Step 5.3

Factor $3$ out of $3 (3 y) + 3 (5)$ .

$\frac{3 (3 y + 5)}{5 y}$