Basic Math Examples

$\frac{5}{6} - \frac{2}{9}$

Step 1

To write

$\frac{5}{6}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{5}{6} \cdot \frac{3}{3} - \frac{2}{9}$

Step 2

To write

$- \frac{2}{9}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{5}{6} \cdot \frac{3}{3} - \frac{2}{9} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of

$18$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{5}{6}$ by

$\frac{3}{3}$ .

$\frac{5 \cdot 3}{6 \cdot 3} - \frac{2}{9} \cdot \frac{2}{2}$

Step 3.2

Multiply

$6$ by

$3$ .

$\frac{5 \cdot 3}{18} - \frac{2}{9} \cdot \frac{2}{2}$

Step 3.3

Multiply

$\frac{2}{9}$ by

$\frac{2}{2}$ .

$\frac{5 \cdot 3}{18} - \frac{2 \cdot 2}{9 \cdot 2}$

Step 3.4

Multiply

$9$ by

$2$ .

$\frac{5 \cdot 3}{18} - \frac{2 \cdot 2}{18}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 3 - 2 \cdot 2}{18}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$5$ by

$3$ .

$\frac{15 - 2 \cdot 2}{18}$

Step 5.2

Multiply

$- 2$ by

$2$ .

$\frac{15 - 4}{18}$

Step 5.3

Subtract

$4$ from

$15$ .

$\frac{11}{18}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{11}{18}$

Decimal Form:

$0.6\overline{1}$