Finite Math Examples

$\frac{1}{4} + \frac{11}{36}$

Step 1

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$\frac{1}{4} \cdot \frac{9}{9} + \frac{11}{36}$

Step 2

Write each expression with a common denominator of $36$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

Multiply $\frac{1}{4}$ by $\frac{9}{9}$ .

$\frac{9}{4 \cdot 9} + \frac{11}{36}$

Step 2.2

Multiply $4$ by $9$ .

$\frac{9}{36} + \frac{11}{36}$

Step 3

Simplify the expression.

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Step 3.1

Combine the numerators over the common denominator.

$\frac{9 + 11}{36}$

Step 3.2

Add $9$ and $11$ .

$\frac{20}{36}$

Step 4

Cancel the common factor of $20$ and $36$ .

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Step 4.1

Factor $4$ out of $20$ .

$\frac{4 (5)}{36}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Factor $4$ out of $36$ .

$\frac{4 \cdot 5}{4 \cdot 9}$

Step 4.2.2

Cancel the common factor.

$\frac{4 \cdot 5}{4 \cdot 9}$

Step 4.2.3

Rewrite the expression.

$\frac{5}{9}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{5}{9}$

Decimal Form:

$0.\overline{5}$