Basic Math Examples

$\frac{5}{9} - \frac{1}{3} \cdot \frac{1}{6}$

Step 1

Multiply

$- \frac{1}{3} \cdot \frac{1}{6}$ .

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Step 1.1

Multiply

$\frac{1}{6}$ by

$\frac{1}{3}$ .

$\frac{5}{9} - \frac{1}{6 \cdot 3}$

Step 1.2

Multiply

$6$ by

$3$ .

$\frac{5}{9} - \frac{1}{18}$

Step 2

To write

$\frac{5}{9}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{5}{9} \cdot \frac{2}{2} - \frac{1}{18}$

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

$\frac{5}{9}$ by

$\frac{2}{2}$ .

$\frac{5 \cdot 2}{9 \cdot 2} - \frac{1}{18}$

Step 3.2

Multiply

$9$ by

$2$ .

$\frac{5 \cdot 2}{18} - \frac{1}{18}$

Step 4

Combine the numerators over the common denominator.

$\frac{5 \cdot 2 - 1}{18}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$5$ by

$2$ .

$\frac{10 - 1}{18}$

Step 5.2

Subtract

$1$ from

$10$ .

$\frac{9}{18}$

Step 6

Cancel the common factor of

$9$ and

$18$ .

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Step 6.1

Factor

$9$ out of

$9$ .

$\frac{9 (1)}{18}$

Step 6.2

Cancel the common factors.

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Step 6.2.1

Factor

$9$ out of

$18$ .

$\frac{9 \cdot 1}{9 \cdot 2}$

Step 6.2.2

Cancel the common factor.

$\frac{9 \cdot 1}{9 \cdot 2}$

Step 6.2.3

Rewrite the expression.

$\frac{1}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{2}$

Decimal Form:

$0.5$