Basic Math Examples

$\frac{3}{66} + \frac{3}{55}$

Step 1

Cancel the common factor of

$3$ and

$66$ .

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Step 1.1

Factor

$3$ out of

$3$ .

$\frac{3 (1)}{66} + \frac{3}{55}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor

$3$ out of

$66$ .

$\frac{3 \cdot 1}{3 \cdot 22} + \frac{3}{55}$

Step 1.2.2

Cancel the common factor.

$\frac{3 \cdot 1}{3 \cdot 22} + \frac{3}{55}$

Step 1.2.3

Rewrite the expression.

$\frac{1}{22} + \frac{3}{55}$

Step 2

To write

$\frac{1}{22}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{1}{22} \cdot \frac{5}{5} + \frac{3}{55}$

Step 3

To write

$\frac{3}{55}$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$\frac{1}{22} \cdot \frac{5}{5} + \frac{3}{55} \cdot \frac{2}{2}$

Step 4

Write each expression with a common denominator of

$110$ , by multiplying each by an appropriate factor of

$1$ .

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Step 4.1

Multiply

$\frac{1}{22}$ by

$\frac{5}{5}$ .

$\frac{5}{22 \cdot 5} + \frac{3}{55} \cdot \frac{2}{2}$

Step 4.2

Multiply

$22$ by

$5$ .

$\frac{5}{110} + \frac{3}{55} \cdot \frac{2}{2}$

Step 4.3

Multiply

$\frac{3}{55}$ by

$\frac{2}{2}$ .

$\frac{5}{110} + \frac{3 \cdot 2}{55 \cdot 2}$

Step 4.4

Multiply

$55$ by

$2$ .

$\frac{5}{110} + \frac{3 \cdot 2}{110}$

Step 5

Combine the numerators over the common denominator.

$\frac{5 + 3 \cdot 2}{110}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

$3$ by

$2$ .

$\frac{5 + 6}{110}$

Step 6.2

Add

$5$ and

$6$ .

$\frac{11}{110}$

Step 7

Cancel the common factor of

$11$ and

$110$ .

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Step 7.1

Factor

$11$ out of

$11$ .

$\frac{11 (1)}{110}$

Step 7.2

Cancel the common factors.

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Step 7.2.1

Factor

$11$ out of

$110$ .

$\frac{11 \cdot 1}{11 \cdot 10}$

Step 7.2.2

Cancel the common factor.

$\frac{11 \cdot 1}{11 \cdot 10}$

Step 7.2.3

Rewrite the expression.

$\frac{1}{10}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{1}{10}$

Decimal Form:

$0.1$