Basic Math Examples

$(\frac{1}{M - 2}) - 1$

Step 1

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

$\frac{1}{M - 2} - 1 \cdot \frac{M - 2}{M - 2}$

Step 2

Simplify terms.

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Step 2.1

Combine $- 1$ and $\frac{M - 2}{M - 2}$ .

$\frac{1}{M - 2} + \frac{- (M - 2)}{M - 2}$

Step 2.2

Combine the numerators over the common denominator.

$\frac{1 - (M - 2)}{M - 2}$

Step 3

Simplify the numerator.

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Step 3.1

Apply the distributive property.

$\frac{1 - M - - 2}{M - 2}$

Step 3.2

Multiply $- 1$ by $- 2$ .

$\frac{1 - M + 2}{M - 2}$

Step 3.3

Add $1$ and $2$ .

$\frac{- M + 3}{M - 2}$

Step 4

Simplify with factoring out.

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Step 4.1

Factor $- 1$ out of $- M$ .

$\frac{- (M) + 3}{M - 2}$

Step 4.2

Rewrite $3$ as $- 1 (- 3)$ .

$\frac{- (M) - 1 (- 3)}{M - 2}$

Step 4.3

Factor $- 1$ out of $- (M) - 1 (- 3)$ .

$\frac{- (M - 3)}{M - 2}$

Step 4.4

Simplify the expression.

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Step 4.4.1

Rewrite $- (M - 3)$ as $- 1 (M - 3)$ .

$\frac{- 1 (M - 3)}{M - 2}$

Step 4.4.2

Move the negative in front of the fraction.

$- \frac{M - 3}{M - 2}$