Pre-Algebra Examples

$\frac{2 z^{2} - 1}{2 z^{2}}$

Step 1

Split the fraction $\frac{2 z^{2} - 1}{2 z^{2}}$ into two fractions.

$\frac{2 z^{2}}{2 z^{2}} + \frac{- 1}{2 z^{2}}$

Step 2

Cancel the common factor of $2$ .

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Step 2.1

Cancel the common factor.

$\frac{2 z^{2}}{2 z^{2}} + \frac{- 1}{2 z^{2}}$

Step 2.2

Rewrite the expression.

$\frac{z^{2}}{z^{2}} + \frac{- 1}{2 z^{2}}$

Step 3

Cancel the common factor of $z^{2}$ .

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Step 3.1

Cancel the common factor.

$\frac{z^{2}}{z^{2}} + \frac{- 1}{2 z^{2}}$

Step 3.2

Rewrite the expression.

$1 + \frac{- 1}{2 z^{2}}$

Step 4

Move the negative in front of the fraction.

$1 - \frac{1}{2 z^{2}}$