Pre-Algebra Examples

$\frac{1}{3} + \frac{7}{36} - \frac{5}{6}$

Step 1

Find the common denominator.

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Step 1.1

Multiply $\frac{1}{3}$ by $\frac{12}{12}$ .

$\frac{1}{3} \cdot \frac{12}{12} + \frac{7}{36} - \frac{5}{6}$

Step 1.2

Multiply $\frac{1}{3}$ by $\frac{12}{12}$ .

$\frac{12}{3 \cdot 12} + \frac{7}{36} - \frac{5}{6}$

Step 1.3

Multiply $\frac{5}{6}$ by $\frac{6}{6}$ .

$\frac{12}{3 \cdot 12} + \frac{7}{36} - (\frac{5}{6} \cdot \frac{6}{6})$

Step 1.4

Multiply $\frac{5}{6}$ by $\frac{6}{6}$ .

$\frac{12}{3 \cdot 12} + \frac{7}{36} - \frac{5 \cdot 6}{6 \cdot 6}$

Step 1.5

Multiply $3$ by $12$ .

$\frac{12}{36} + \frac{7}{36} - \frac{5 \cdot 6}{6 \cdot 6}$

Step 1.6

Multiply $6$ by $6$ .

$\frac{12}{36} + \frac{7}{36} - \frac{5 \cdot 6}{36}$

Step 2

Combine the numerators over the common denominator.

$\frac{12 + 7 - 5 \cdot 6}{36}$

Step 3

Simplify the expression.

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Step 3.1

Multiply $- 5$ by $6$ .

$\frac{12 + 7 - 30}{36}$

Step 3.2

Add $12$ and $7$ .

$\frac{19 - 30}{36}$

Step 3.3

Subtract $30$ from $19$ .

$\frac{- 11}{36}$

Step 3.4

Move the negative in front of the fraction.

$- \frac{11}{36}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{11}{36}$

Decimal Form:

$- 0.30\overline{5}$