Algebra Examples

$\frac{4 x + 3}{4 x}$ , $x = 3$

Step 1

Replace the variable $x$ with $3$ in the expression.

$\frac{4 (3) + 3}{4 (3)}$

Step 2

Cancel the common factor of $4 (3) + 3$ and $3$ .

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Step 2.1

Factor $3$ out of $4 (3)$ .

$\frac{3 \cdot 4 + 3}{4 (3)}$

Step 2.2

Factor $3$ out of $3$ .

$\frac{3 \cdot 4 + 3 \cdot 1}{4 \cdot 3}$

Step 2.3

Factor $3$ out of $3 \cdot 4 + 3 (1)$ .

$\frac{3 \cdot (4 + 1)}{4 (3)}$

Step 2.4

Cancel the common factors.

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Step 2.4.1

Factor $3$ out of $4 (3)$ .

$\frac{3 \cdot (4 + 1)}{3 \cdot 4}$

Step 2.4.2

Cancel the common factor.

$\frac{3 \cdot (4 + 1)}{3 \cdot 4}$

Step 2.4.3

Rewrite the expression.

$\frac{4 + 1}{4}$

$\frac{4 + 1}{4}$

$\frac{4 + 1}{4}$

Step 3

Add $4$ and $1$ .

$\frac{5}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{4}$

Decimal Form:

$1.25$

Mixed Number Form:

$1 \frac{1}{4}$

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