Basic Math Examples

\frac{1}{3} - 78

$\frac{1}{3} - 78$

Step 1

To write

- 78

$- 78$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{3} - 78 \cdot \frac{3}{3}

$\frac{1}{3} - 78 \cdot \frac{3}{3}$

Step 2

Combine

- 78

$- 78$ and

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{3} + \frac{- 78 \cdot 3}{3}

$\frac{1}{3} + \frac{- 78 \cdot 3}{3}$

Step 3

Combine the numerators over the common denominator.

\frac{1 - 78 \cdot 3}{3}

$\frac{1 - 78 \cdot 3}{3}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 78

$- 78$ by

3

$3$ .

\frac{1 - 234}{3}

$\frac{1 - 234}{3}$

Step 4.2

Subtract

234

$234$ from

1

$1$ .

\frac{- 233}{3}

$\frac{- 233}{3}$

\frac{- 233}{3}

$\frac{- 233}{3}$

Step 5

Move the negative in front of the fraction.

- \frac{233}{3}

$- \frac{233}{3}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{233}{3}

$- \frac{233}{3}$

Decimal Form:

- 77.\overline{6}

$- 77.\overline{6}$

Mixed Number Form:

- 77 \frac{2}{3}

$- 77 \frac{2}{3}$