Basic Math Examples

$1 - \frac{1}{\frac{a - 2}{a - 4}}$

Step 1

Simplify terms.

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Step 1.1

Simplify each term.

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Step 1.1.1

Multiply the numerator by the reciprocal of the denominator.

$1 - (1 \frac{a - 4}{a - 2})$

Step 1.1.2

Multiply $\frac{a - 4}{a - 2}$ by $1$ .

$1 - \frac{a - 4}{a - 2}$

Step 1.2

Combine into one fraction.

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

$\frac{a - 2}{a - 2} - \frac{a - 4}{a - 2}$

Step 1.2.2

Combine the numerators over the common denominator.

$\frac{a - 2 - (a - 4)}{a - 2}$

Step 2

Simplify the numerator.

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Step 2.1

Apply the distributive property.

$\frac{a - 2 - a - - 4}{a - 2}$

Step 2.2

Multiply $- 1$ by $- 4$ .

$\frac{a - 2 - a + 4}{a - 2}$

Step 2.3

Subtract $a$ from $a$ .

$\frac{0 - 2 + 4}{a - 2}$

Step 2.4

Subtract $2$ from $0$ .

$\frac{- 2 + 4}{a - 2}$

Step 2.5

Add $- 2$ and $4$ .

$\frac{2}{a - 2}$