Basic Math Examples

\frac{2}{3} f - 6 = 6

$\frac{2}{3} f - 6 = 6$

Step 1

Combine

\frac{2}{3}

$\frac{2}{3}$ and

f

$f$ .

\frac{2 f}{3} - 6 = 6

$\frac{2 f}{3} - 6 = 6$

Step 2

Move all terms not containing

f

$f$ to the right side of the equation.

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Step 2.1

Add

6

$6$ to both sides of the equation.

\frac{2 f}{3} = 6 + 6

$\frac{2 f}{3} = 6 + 6$

Step 2.2

Add

6

$6$ and

6

$6$ .

\frac{2 f}{3} = 12

$\frac{2 f}{3} = 12$

\frac{2 f}{3} = 12

$\frac{2 f}{3} = 12$

Step 3

Multiply both sides of the equation by

\frac{3}{2}

$\frac{3}{2}$ .

\frac{3}{2} \cdot \frac{2 f}{3} = \frac{3}{2} \cdot 12

$\frac{3}{2} \cdot \frac{2 f}{3} = \frac{3}{2} \cdot 12$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify

\frac{3}{2} \cdot \frac{2 f}{3}

$\frac{3}{2} \cdot \frac{2 f}{3}$ .

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Step 4.1.1.1

Cancel the common factor of

3

$3$ .

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Step 4.1.1.1.1

Cancel the common factor.

$\frac{3}{2} \cdot \frac{2 f}{3} = \frac{3}{2} \cdot 12$

Step 4.1.1.1.2

Rewrite the expression.

$\frac{1}{2} (2 f) = \frac{3}{2} \cdot 12$

$\frac{1}{2} (2 f) = \frac{3}{2} \cdot 12$

Step 4.1.1.2

Cancel the common factor of

$2$ .

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Step 4.1.1.2.1

Factor

$2$ out of

$2 f$ .

$\frac{1}{2} (2 (f)) = \frac{3}{2} \cdot 12$

Step 4.1.1.2.2

Cancel the common factor.

$\frac{1}{2} (2 f) = \frac{3}{2} \cdot 12$

Step 4.1.1.2.3

Rewrite the expression.

$f = \frac{3}{2} \cdot 12$

$f = \frac{3}{2} \cdot 12$

$f = \frac{3}{2} \cdot 12$

$f = \frac{3}{2} \cdot 12$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify

$\frac{3}{2} \cdot 12$ .

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Step 4.2.1.1

Cancel the common factor of

$2$ .

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Step 4.2.1.1.1

Factor

$2$ out of

$12$ .

$f = \frac{3}{2} \cdot (2 (6))$

Step 4.2.1.1.2

Cancel the common factor.

$f = \frac{3}{2} \cdot (2 \cdot 6)$

Step 4.2.1.1.3

Rewrite the expression.

$f = 3 \cdot 6$

$f = 3 \cdot 6$

Step 4.2.1.2

Multiply

$3$ by

$6$ .

$f = 18$

$f = 18$

$f = 18$

$f = 18$

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