Algebra Examples

$3 x = \frac{21}{4}$

Step 1

Divide each term in $3 x = \frac{21}{4}$ by $3$ .

$\frac{3 x}{3} = \frac{\frac{21}{4}}{3}$

Step 2

Simplify the left side.

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Step 2.1

Cancel the common factor of $3$ .

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Step 2.1.1

Cancel the common factor.

$\frac{3 x}{3} = \frac{\frac{21}{4}}{3}$

Step 2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{21}{4}}{3}$

$x = \frac{\frac{21}{4}}{3}$

$x = \frac{\frac{21}{4}}{3}$

Step 3

Simplify the right side.

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Step 3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{21}{4} \cdot \frac{1}{3}$

Step 3.2

Cancel the common factor of $3$ .

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Step 3.2.1

Factor $3$ out of $21$ .

$x = \frac{3 (7)}{4} \cdot \frac{1}{3}$

Step 3.2.2

Cancel the common factor.

$x = \frac{3 \cdot 7}{4} \cdot \frac{1}{3}$

Step 3.2.3

Rewrite the expression.

$x = \frac{7}{4}$

$x = \frac{7}{4}$

$x = \frac{7}{4}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$x = \frac{7}{4}$

Decimal Form:

$x = 1.75$

Mixed Number Form:

$x = 1 \frac{3}{4}$

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