Basic Math Examples

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

Step 1

Rewrite the equation as $\frac{3 + q}{6} = \frac{3}{2}$ .

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

Step 2

Multiply both sides of the equation by $6$ .

$6 \frac{3 + q}{6} = 6 (\frac{3}{2})$

Step 3

Simplify both sides of the equation.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $6$ .

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Step 3.1.1.1

Cancel the common factor.

$6 \frac{3 + q}{6} = 6 (\frac{3}{2})$

Step 3.1.1.2

Rewrite the expression.

$3 + q = 6 (\frac{3}{2})$

Step 3.2

Simplify the right side.

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Step 3.2.1

Simplify $6 (\frac{3}{2})$ .

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Step 3.2.1.1

Cancel the common factor of $2$ .

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Step 3.2.1.1.1

Factor $2$ out of $6$ .

$3 + q = 2 (3) \frac{3}{2}$

Step 3.2.1.1.2

Cancel the common factor.

$3 + q = 2 \cdot 3 \frac{3}{2}$

Step 3.2.1.1.3

Rewrite the expression.

$3 + q = 3 \cdot 3$

Step 3.2.1.2

Multiply $3$ by $3$ .

$3 + q = 9$

Step 4

Move all terms not containing $q$ to the right side of the equation.

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Step 4.1

Subtract $3$ from both sides of the equation.

$q = 9 - 3$

Step 4.2

Subtract $3$ from $9$ .

$q = 6$