Pre-Algebra Examples

$\frac{2 a - 3 b}{4 a}$

Step 1

Split the fraction $\frac{2 a - 3 b}{4 a}$ into two fractions.

$\frac{2 a}{4 a} + \frac{- 3 b}{4 a}$

Step 2

Cancel the common factor of $2$ and $4$ .

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Step 2.1

Factor $2$ out of $2 a$ .

$\frac{2 (a)}{4 a} + \frac{- 3 b}{4 a}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $2$ out of $4 a$ .

$\frac{2 (a)}{2 (2 a)} + \frac{- 3 b}{4 a}$

Step 2.2.2

Cancel the common factor.

$\frac{2 a}{2 (2 a)} + \frac{- 3 b}{4 a}$

Step 2.2.3

Rewrite the expression.

$\frac{a}{2 a} + \frac{- 3 b}{4 a}$

$\frac{a}{2 a} + \frac{- 3 b}{4 a}$

$\frac{a}{2 a} + \frac{- 3 b}{4 a}$

Step 3

Cancel the common factor of $a$ .

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Step 3.1

Cancel the common factor.

$\frac{a}{2 a} + \frac{- 3 b}{4 a}$

Step 3.2

Rewrite the expression.

$\frac{1}{2} + \frac{- 3 b}{4 a}$

$\frac{1}{2} + \frac{- 3 b}{4 a}$

Step 4

Move the negative in front of the fraction.

$\frac{1}{2} - \frac{3 b}{4 a}$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$