Basic Math Examples

$\frac{2}{11} + \frac{4}{5}$

Step 1

To write

$\frac{2}{11}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{2}{11} \cdot \frac{5}{5} + \frac{4}{5}$

Step 2

To write

$\frac{4}{5}$ as a fraction with a common denominator, multiply by

$\frac{11}{11}$ .

$\frac{2}{11} \cdot \frac{5}{5} + \frac{4}{5} \cdot \frac{11}{11}$

Step 3

Write each expression with a common denominator of

$55$ , by multiplying each by an appropriate factor of

$1$ .

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Step 3.1

Multiply

$\frac{2}{11}$ by

$\frac{5}{5}$ .

$\frac{2 \cdot 5}{11 \cdot 5} + \frac{4}{5} \cdot \frac{11}{11}$

Step 3.2

Multiply

$11$ by

$5$ .

$\frac{2 \cdot 5}{55} + \frac{4}{5} \cdot \frac{11}{11}$

Step 3.3

Multiply

$\frac{4}{5}$ by

$\frac{11}{11}$ .

$\frac{2 \cdot 5}{55} + \frac{4 \cdot 11}{5 \cdot 11}$

Step 3.4

Multiply

$5$ by

$11$ .

$\frac{2 \cdot 5}{55} + \frac{4 \cdot 11}{55}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 5 + 4 \cdot 11}{55}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$2$ by

$5$ .

$\frac{10 + 4 \cdot 11}{55}$

Step 5.2

Multiply

$4$ by

$11$ .

$\frac{10 + 44}{55}$

Step 5.3

Add

$10$ and

$44$ .

$\frac{54}{55}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{54}{55}$

Decimal Form:

$0.9\overline{81}$