Basic Math Examples

$\frac{- 5}{4} - \frac{1}{2 y}$

Step 1

Move the negative in front of the fraction.

$- \frac{5}{4} - \frac{1}{2 y}$

Step 2

To write $- \frac{5}{4}$ as a fraction with a common denominator, multiply by $\frac{y}{y}$ .

$- \frac{5}{4} \cdot \frac{y}{y} - \frac{1}{2 y}$

Step 3

To write $- \frac{1}{2 y}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{5}{4} \cdot \frac{y}{y} - \frac{1}{2 y} \cdot \frac{2}{2}$

Step 4

Write each expression with a common denominator of $4 y$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{5}{4}$ by $\frac{y}{y}$ .

$- \frac{5 y}{4 y} - \frac{1}{2 y} \cdot \frac{2}{2}$

Step 4.2

Multiply $\frac{1}{2 y}$ by $\frac{2}{2}$ .

$- \frac{5 y}{4 y} - \frac{2}{2 y \cdot 2}$

Step 4.3

Multiply $2$ by $2$ .

$- \frac{5 y}{4 y} - \frac{2}{4 y}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 5 y - 2}{4 y}$

Step 6

Factor $- 1$ out of $- 5 y$ .

$\frac{- (5 y) - 2}{4 y}$

Step 7

Rewrite $- 2$ as $- 1 (2)$ .

$\frac{- (5 y) - 1 (2)}{4 y}$

Step 8

Factor $- 1$ out of $- (5 y) - 1 (2)$ .

$\frac{- (5 y + 2)}{4 y}$

Step 9

Simplify the expression.

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Step 9.1

Rewrite $- (5 y + 2)$ as $- 1 (5 y + 2)$ .

$\frac{- 1 (5 y + 2)}{4 y}$

Step 9.2

Move the negative in front of the fraction.

$- \frac{5 y + 2}{4 y}$