Basic Math Examples

\frac{1}{12} - \frac{5}{4}

$\frac{1}{12} - \frac{5}{4}$

Step 1

To write

- \frac{5}{4}

$- \frac{5}{4}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{12} - \frac{5}{4} \cdot \frac{3}{3}

$\frac{1}{12} - \frac{5}{4} \cdot \frac{3}{3}$

Step 2

Write each expression with a common denominator of

12

$12$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{5}{4}

$\frac{5}{4}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{12} - \frac{5 \cdot 3}{4 \cdot 3}

$\frac{1}{12} - \frac{5 \cdot 3}{4 \cdot 3}$

Step 2.2

Multiply

4

$4$ by

3

$3$ .

\frac{1}{12} - \frac{5 \cdot 3}{12}

$\frac{1}{12} - \frac{5 \cdot 3}{12}$

\frac{1}{12} - \frac{5 \cdot 3}{12}

$\frac{1}{12} - \frac{5 \cdot 3}{12}$

Step 3

Combine the numerators over the common denominator.

\frac{1 - 5 \cdot 3}{12}

$\frac{1 - 5 \cdot 3}{12}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 5

$- 5$ by

3

$3$ .

\frac{1 - 15}{12}

$\frac{1 - 15}{12}$

Step 4.2

Subtract

15

$15$ from

1

$1$ .

\frac{- 14}{12}

$\frac{- 14}{12}$

\frac{- 14}{12}

$\frac{- 14}{12}$

Step 5

Cancel the common factor of

- 14

$- 14$ and

12

$12$ .

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Step 5.1

Factor

2

$2$ out of

- 14

$- 14$ .

\frac{2 (- 7)}{12}

$\frac{2 (- 7)}{12}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

2

$2$ out of

12

$12$ .

\frac{2 \cdot - 7}{2 \cdot 6}

$\frac{2 \cdot - 7}{2 \cdot 6}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot - 7}{2 \cdot 6}$

Step 5.2.3

Rewrite the expression.

$\frac{- 7}{6}$

Step 6

Move the negative in front of the fraction.

$- \frac{7}{6}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{6}$

Decimal Form:

$- 1.1\overline{6}$

Mixed Number Form:

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