Basic Math Examples

\frac{3}{4} - \frac{3}{18}

$\frac{3}{4} - \frac{3}{18}$

Step 1

Cancel the common factor of

$3$ and

$18$ .

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Step 1.1

Factor

$3$ out of

$3$ .

$\frac{3}{4} - \frac{3 (1)}{18}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$3$ out of

$18$ .

$\frac{3}{4} - \frac{3 \cdot 1}{3 \cdot 6}$

Step 1.2.2

Cancel the common factor.

$\frac{3}{4} - \frac{3 \cdot 1}{3 \cdot 6}$

Step 1.2.3

Rewrite the expression.

$\frac{3}{4} - \frac{1}{6}$

Step 2

To write

$\frac{3}{4}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{3}{4} \cdot \frac{3}{3} - \frac{1}{6}$

Step 3

To write

$- \frac{1}{6}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{3}{4} \cdot \frac{3}{3} - \frac{1}{6} \cdot \frac{2}{2}$

Step 4

Write each expression with a common denominator of

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

$1$ .

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Step 4.1

Multiply

$\frac{3}{4}$ by

$\frac{3}{3}$ .

$\frac{3 \cdot 3}{4 \cdot 3} - \frac{1}{6} \cdot \frac{2}{2}$

Step 4.2

Multiply

$4$ by

$3$ .

$\frac{3 \cdot 3}{12} - \frac{1}{6} \cdot \frac{2}{2}$

Step 4.3

Multiply

$\frac{1}{6}$ by

$\frac{2}{2}$ .

$\frac{3 \cdot 3}{12} - \frac{2}{6 \cdot 2}$

Step 4.4

Multiply

$6$ by

$2$ .

$\frac{3 \cdot 3}{12} - \frac{2}{12}$

Step 5

Combine the numerators over the common denominator.

$\frac{3 \cdot 3 - 2}{12}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

$3$ by

$3$ .

$\frac{9 - 2}{12}$

Step 6.2

Subtract

$2$ from

$9$ .

$\frac{7}{12}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{7}{12}$

Decimal Form:

$0.58\overline{3}$