Basic Math Examples

3 - g = \frac{1}{4}

$3 - g = \frac{1}{4}$

Step 1

Move all terms not containing

g

$g$ to the right side of the equation.

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Step 1.1

Subtract

3

$3$ from both sides of the equation.

- g = \frac{1}{4} - 3

$- g = \frac{1}{4} - 3$

Step 1.2

To write

- 3

$- 3$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

- g = \frac{1}{4} - 3 \cdot \frac{4}{4}

$- g = \frac{1}{4} - 3 \cdot \frac{4}{4}$

Step 1.3

Combine

- 3

$- 3$ and

\frac{4}{4}

$\frac{4}{4}$ .

- g = \frac{1}{4} + \frac{- 3 \cdot 4}{4}

$- g = \frac{1}{4} + \frac{- 3 \cdot 4}{4}$

Step 1.4

Combine the numerators over the common denominator.

- g = \frac{1 - 3 \cdot 4}{4}

$- g = \frac{1 - 3 \cdot 4}{4}$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply

- 3

$- 3$ by

4

$4$ .

- g = \frac{1 - 12}{4}

$- g = \frac{1 - 12}{4}$

Step 1.5.2

Subtract

12

$12$ from

1

$1$ .

- g = \frac{- 11}{4}

$- g = \frac{- 11}{4}$

- g = \frac{- 11}{4}

$- g = \frac{- 11}{4}$

Step 1.6

Move the negative in front of the fraction.

- g = - \frac{11}{4}

$- g = - \frac{11}{4}$

- g = - \frac{11}{4}

$- g = - \frac{11}{4}$

Step 2

Divide each term in

- g = - \frac{11}{4}

$- g = - \frac{11}{4}$ by

- 1

$- 1$ and simplify.

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Step 2.1

Divide each term in

- g = - \frac{11}{4}

$- g = - \frac{11}{4}$ by

- 1

$- 1$ .

\frac{- g}{- 1} = \frac{- \frac{11}{4}}{- 1}

$\frac{- g}{- 1} = \frac{- \frac{11}{4}}{- 1}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Dividing two negative values results in a positive value.

\frac{g}{1} = \frac{- \frac{11}{4}}{- 1}

$\frac{g}{1} = \frac{- \frac{11}{4}}{- 1}$

Step 2.2.2

Divide

g

$g$ by

1

$1$ .

g = \frac{- \frac{11}{4}}{- 1}

$g = \frac{- \frac{11}{4}}{- 1}$

g = \frac{- \frac{11}{4}}{- 1}

$g = \frac{- \frac{11}{4}}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Dividing two negative values results in a positive value.

g = \frac{\frac{11}{4}}{1}

$g = \frac{\frac{11}{4}}{1}$

Step 2.3.2

Divide

\frac{11}{4}

$\frac{11}{4}$ by

1

$1$ .

g = \frac{11}{4}

$g = \frac{11}{4}$

g = \frac{11}{4}

$g = \frac{11}{4}$

g = \frac{11}{4}

$g = \frac{11}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

g = \frac{11}{4}

$g = \frac{11}{4}$

Decimal Form:

g = 2.75

$g = 2.75$

Mixed Number Form:

g = 2 \frac{3}{4}

$g = 2 \frac{3}{4}$