Basic Math Examples

$\frac{13}{4} = \frac{g}{3} + 4$

Step 1

Rewrite the equation as $\frac{g}{3} + 4 = \frac{13}{4}$ .

$\frac{g}{3} + 4 = \frac{13}{4}$

Step 2

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

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Step 2.1

Subtract $4$ from both sides of the equation.

$\frac{g}{3} = \frac{13}{4} - 4$

Step 2.2

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{g}{3} = \frac{13}{4} - 4 \cdot \frac{4}{4}$

Step 2.3

Combine $- 4$ and $\frac{4}{4}$ .

$\frac{g}{3} = \frac{13}{4} + \frac{- 4 \cdot 4}{4}$

Step 2.4

Combine the numerators over the common denominator.

$\frac{g}{3} = \frac{13 - 4 \cdot 4}{4}$

Step 2.5

Simplify the numerator.

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Step 2.5.1

Multiply $- 4$ by $4$ .

$\frac{g}{3} = \frac{13 - 16}{4}$

Step 2.5.2

Subtract $16$ from $13$ .

$\frac{g}{3} = \frac{- 3}{4}$

Step 2.6

Move the negative in front of the fraction.

$\frac{g}{3} = - \frac{3}{4}$

Step 3

Multiply both sides of the equation by $3$ .

$3 \frac{g}{3} = 3 (- \frac{3}{4})$

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

Cancel the common factor of $3$ .

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Step 4.1.1.1

Cancel the common factor.

$3 \frac{g}{3} = 3 (- \frac{3}{4})$

Step 4.1.1.2

Rewrite the expression.

$g = 3 (- \frac{3}{4})$

Step 4.2

Simplify the right side.

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Step 4.2.1

Simplify $3 (- \frac{3}{4})$ .

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Step 4.2.1.1

Multiply $3 (- \frac{3}{4})$ .

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Step 4.2.1.1.1

Multiply $- 1$ by $3$ .

$g = - 3 (\frac{3}{4})$

Step 4.2.1.1.2

Combine $- 3$ and $\frac{3}{4}$ .

$g = \frac{- 3 \cdot 3}{4}$

Step 4.2.1.1.3

Multiply $- 3$ by $3$ .

$g = \frac{- 9}{4}$

Step 4.2.1.2

Move the negative in front of the fraction.

$g = - \frac{9}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$g = - \frac{9}{4}$

Decimal Form:

$g = - 2.25$

Mixed Number Form:

$g = - 2 \frac{1}{4}$