Basic Math Examples

$\frac{6}{y} + \frac{1}{6} - \frac{5}{6 y}$

Step 1

To write $\frac{6}{y}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{6}{y} \cdot \frac{6}{6} + \frac{1}{6} - \frac{5}{6 y}$

Step 2

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{y}{y}$ .

$\frac{6}{y} \cdot \frac{6}{6} + \frac{1}{6} \cdot \frac{y}{y} - \frac{5}{6 y}$

Step 3

Write each expression with a common denominator of $y \cdot 6$ , by multiplying each by an appropriate factor of $1$ .

Tap for more steps...

Step 3.1

Multiply $\frac{6}{y}$ by $\frac{6}{6}$ .

$\frac{6 \cdot 6}{y \cdot 6} + \frac{1}{6} \cdot \frac{y}{y} - \frac{5}{6 y}$

Step 3.2

Multiply $\frac{1}{6}$ by $\frac{y}{y}$ .

$\frac{6 \cdot 6}{y \cdot 6} + \frac{y}{6 y} - \frac{5}{6 y}$

Step 3.3

Reorder the factors of $y \cdot 6$ .

$\frac{6 \cdot 6}{6 y} + \frac{y}{6 y} - \frac{5}{6 y}$

Step 4

Combine the numerators over the common denominator.

$\frac{6 \cdot 6 + y}{6 y} - \frac{5}{6 y}$

Step 5

Combine the numerators over the common denominator.

$\frac{6 \cdot 6 + y - 5}{6 y}$

Step 6

Simplify the numerator.

Tap for more steps...

Step 6.1

Multiply $6$ by $6$ .

$\frac{36 + y - 5}{6 y}$

Step 6.2

Subtract $5$ from $36$ .

$\frac{y + 31}{6 y}$