Pre-Algebra Examples

$\frac{2}{3} + \frac{4}{18}$

Step 1

Cancel the common factor of

$4$ and

$18$ .

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Step 1.1

Factor

$2$ out of

$4$ .

$\frac{2}{3} + \frac{2 (2)}{18}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$2$ out of

$18$ .

$\frac{2}{3} + \frac{2 \cdot 2}{2 \cdot 9}$

Step 1.2.2

Cancel the common factor.

$\frac{2}{3} + \frac{2 \cdot 2}{2 \cdot 9}$

Step 1.2.3

Rewrite the expression.

$\frac{2}{3} + \frac{2}{9}$

Step 2

To write

$\frac{2}{3}$ as a fraction with a common denominator, multiply by

$\frac{3}{3}$ .

$\frac{2}{3} \cdot \frac{3}{3} + \frac{2}{9}$

Step 3

Write each expression with a common denominator of

$9$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{2}{3}$ by

$\frac{3}{3}$ .

$\frac{2 \cdot 3}{3 \cdot 3} + \frac{2}{9}$

Step 3.2

Multiply

$3$ by

$3$ .

$\frac{2 \cdot 3}{9} + \frac{2}{9}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 3 + 2}{9}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$2$ by

$3$ .

$\frac{6 + 2}{9}$

Step 5.2

Add

$6$ and

$2$ .

$\frac{8}{9}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{9}$

Decimal Form:

$0.\overline{8}$