Basic Math Examples

4 - h = \frac{3}{4}

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

Step 1

Move all terms not containing

h

$h$ to the right side of the equation.

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Step 1.1

Subtract

4

$4$ from both sides of the equation.

- h = \frac{3}{4} - 4

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

Step 1.2

To write

- 4

$- 4$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

- h = \frac{3}{4} - 4 \cdot \frac{4}{4}

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

Step 1.3

Combine

- 4

$- 4$ and

\frac{4}{4}

$\frac{4}{4}$ .

- h = \frac{3}{4} + \frac{- 4 \cdot 4}{4}

$- h = \frac{3}{4} + \frac{- 4 \cdot 4}{4}$

Step 1.4

Combine the numerators over the common denominator.

- h = \frac{3 - 4 \cdot 4}{4}

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

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply

- 4

$- 4$ by

4

$4$ .

- h = \frac{3 - 16}{4}

$- h = \frac{3 - 16}{4}$

Step 1.5.2

Subtract

16

$16$ from

3

$3$ .

- h = \frac{- 13}{4}

$- h = \frac{- 13}{4}$

- h = \frac{- 13}{4}

$- h = \frac{- 13}{4}$

Step 1.6

Move the negative in front of the fraction.

- h = - \frac{13}{4}

$- h = - \frac{13}{4}$

- h = - \frac{13}{4}

$- h = - \frac{13}{4}$

Step 2

Divide each term in

- h = - \frac{13}{4}

$- h = - \frac{13}{4}$ by

- 1

$- 1$ and simplify.

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Step 2.1

Divide each term in

- h = - \frac{13}{4}

$- h = - \frac{13}{4}$ by

- 1

$- 1$ .

\frac{- h}{- 1} = \frac{- \frac{13}{4}}{- 1}

$\frac{- h}{- 1} = \frac{- \frac{13}{4}}{- 1}$

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{h}{1} = \frac{- \frac{13}{4}}{- 1}

$\frac{h}{1} = \frac{- \frac{13}{4}}{- 1}$

Step 2.2.2

Divide

h

$h$ by

1

$1$ .

h = \frac{- \frac{13}{4}}{- 1}

$h = \frac{- \frac{13}{4}}{- 1}$

h = \frac{- \frac{13}{4}}{- 1}

$h = \frac{- \frac{13}{4}}{- 1}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Dividing two negative values results in a positive value.

h = \frac{\frac{13}{4}}{1}

$h = \frac{\frac{13}{4}}{1}$

Step 2.3.2

Divide

\frac{13}{4}

$\frac{13}{4}$ by

1

$1$ .

h = \frac{13}{4}

$h = \frac{13}{4}$

h = \frac{13}{4}

$h = \frac{13}{4}$

h = \frac{13}{4}

$h = \frac{13}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

h = \frac{13}{4}

$h = \frac{13}{4}$

Decimal Form:

h = 3.25

$h = 3.25$

Mixed Number Form:

h = 3 \frac{1}{4}

$h = 3 \frac{1}{4}$