Basic Math Examples

$\frac{- 7 x + 2 y}{5} - 1$

Step 1

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{- 7 x + 2 y}{5} - 1 \cdot \frac{5}{5}$

Step 2

Combine $- 1$ and $\frac{5}{5}$ .

$\frac{- 7 x + 2 y}{5} + \frac{- 1 \cdot 5}{5}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 7 x + 2 y - 1 \cdot 5}{5}$

Step 4

Multiply $- 1$ by $5$ .

$\frac{- 7 x + 2 y - 5}{5}$

Step 5

Factor $- 1$ out of $- 7 x$ .

$\frac{- (7 x) + 2 y - 5}{5}$

Step 6

Factor $- 1$ out of $2 y$ .

$\frac{- (7 x) - (- 2 y) - 5}{5}$

Step 7

Factor $- 1$ out of $- (7 x) - (- 2 y)$ .

$\frac{- (7 x - 2 y) - 5}{5}$

Step 8

Rewrite $- 5$ as $- 1 (5)$ .

$\frac{- (7 x - 2 y) - 1 (5)}{5}$

Step 9

Factor $- 1$ out of $- (7 x - 2 y) - 1 (5)$ .

$\frac{- (7 x - 2 y + 5)}{5}$

Step 10

Simplify the expression.

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Step 10.1

Rewrite $- (7 x - 2 y + 5)$ as $- 1 (7 x - 2 y + 5)$ .

$\frac{- 1 (7 x - 2 y + 5)}{5}$

Step 10.2

Move the negative in front of the fraction.

$- \frac{7 x - 2 y + 5}{5}$