Basic Math Examples

- \frac{1}{3} - \frac{5}{6}

$- \frac{1}{3} - \frac{5}{6}$

Step 1

To write

- \frac{1}{3}

$- \frac{1}{3}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

- \frac{1}{3} \cdot \frac{2}{2} - \frac{5}{6}

$- \frac{1}{3} \cdot \frac{2}{2} - \frac{5}{6}$

Step 2

Write each expression with a common denominator of

6

$6$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{1}{3}

$\frac{1}{3}$ by

\frac{2}{2}

$\frac{2}{2}$ .

- \frac{2}{3 \cdot 2} - \frac{5}{6}

$- \frac{2}{3 \cdot 2} - \frac{5}{6}$

Step 2.2

Multiply

3

$3$ by

2

$2$ .

- \frac{2}{6} - \frac{5}{6}

$- \frac{2}{6} - \frac{5}{6}$

- \frac{2}{6} - \frac{5}{6}

$- \frac{2}{6} - \frac{5}{6}$

Step 3

Combine the numerators over the common denominator.

\frac{- 2 - 5}{6}

$\frac{- 2 - 5}{6}$

Step 4

Subtract

5

$5$ from

- 2

$- 2$ .

\frac{- 7}{6}

$\frac{- 7}{6}$

Step 5

Move the negative in front of the fraction.

- \frac{7}{6}

$- \frac{7}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

- \frac{7}{6}

$- \frac{7}{6}$

Decimal Form:

- 1.1\overline{6}

$- 1.1\overline{6}$

Mixed Number Form:

- 1 \frac{1}{6}

$- 1 \frac{1}{6}$