Basic Math Examples

- \frac{19}{36} - \frac{5}{12}

$- \frac{19}{36} - \frac{5}{12}$

Step 1

To write

- \frac{5}{12}

$- \frac{5}{12}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

- \frac{19}{36} - \frac{5}{12} \cdot \frac{3}{3}

$- \frac{19}{36} - \frac{5}{12} \cdot \frac{3}{3}$

Step 2

Write each expression with a common denominator of

36

$36$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 2.1

Multiply

\frac{5}{12}

$\frac{5}{12}$ by

\frac{3}{3}

$\frac{3}{3}$ .

- \frac{19}{36} - \frac{5 \cdot 3}{12 \cdot 3}

$- \frac{19}{36} - \frac{5 \cdot 3}{12 \cdot 3}$

Step 2.2

Multiply

12

$12$ by

3

$3$ .

- \frac{19}{36} - \frac{5 \cdot 3}{36}

$- \frac{19}{36} - \frac{5 \cdot 3}{36}$

- \frac{19}{36} - \frac{5 \cdot 3}{36}

$- \frac{19}{36} - \frac{5 \cdot 3}{36}$

Step 3

Combine the numerators over the common denominator.

\frac{- 19 - 5 \cdot 3}{36}

$\frac{- 19 - 5 \cdot 3}{36}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply

- 5

$- 5$ by

3

$3$ .

\frac{- 19 - 15}{36}

$\frac{- 19 - 15}{36}$

Step 4.2

Subtract

15

$15$ from

- 19

$- 19$ .

\frac{- 34}{36}

$\frac{- 34}{36}$

\frac{- 34}{36}

$\frac{- 34}{36}$

Step 5

Cancel the common factor of

- 34

$- 34$ and

36

$36$ .

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Step 5.1

Factor

2

$2$ out of

- 34

$- 34$ .

\frac{2 (- 17)}{36}

$\frac{2 (- 17)}{36}$

Step 5.2

Cancel the common factors.

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Step 5.2.1

Factor

2

$2$ out of

36

$36$ .

\frac{2 \cdot - 17}{2 \cdot 18}

$\frac{2 \cdot - 17}{2 \cdot 18}$

Step 5.2.2

Cancel the common factor.

$\frac{2 \cdot - 17}{2 \cdot 18}$

Step 5.2.3

Rewrite the expression.

$\frac{- 17}{18}$

Step 6

Move the negative in front of the fraction.

$- \frac{17}{18}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{17}{18}$

Decimal Form:

$- 0.9\overline{4}$