Basic Math Examples

$2 a + \frac{1}{3 b} = 6$

Step 1

Subtract $\frac{1}{3 b}$ from both sides of the equation.

$2 a = 6 - \frac{1}{3 b}$

Step 2

Divide each term in $2 a = 6 - \frac{1}{3 b}$ by $2$ and simplify.

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Step 2.1

Divide each term in $2 a = 6 - \frac{1}{3 b}$ by $2$ .

$\frac{2 a}{2} = \frac{6}{2} + \frac{- \frac{1}{3 b}}{2}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $2$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{2 a}{2} = \frac{6}{2} + \frac{- \frac{1}{3 b}}{2}$

Step 2.2.1.2

Divide $a$ by $1$ .

$a = \frac{6}{2} + \frac{- \frac{1}{3 b}}{2}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Simplify each term.

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Step 2.3.1.1

Divide $6$ by $2$ .

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

Step 2.3.1.2

Multiply the numerator by the reciprocal of the denominator.

$a = 3 - \frac{1}{3 b} \cdot \frac{1}{2}$

Step 2.3.1.3

Multiply $- \frac{1}{3 b} \cdot \frac{1}{2}$ .

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Step 2.3.1.3.1

Multiply $\frac{1}{2}$ by $\frac{1}{3 b}$ .

$a = 3 - \frac{1}{2 (3 b)}$

Step 2.3.1.3.2

Multiply $3$ by $2$ .

$a = 3 - \frac{1}{6 b}$