Basic Math Examples

$6 \frac{36}{45}$

Step 1

Convert $6 \frac{36}{45}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$6 + \frac{36}{45}$

Step 1.2

Add $6$ and $\frac{36}{45}$ .

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Step 1.2.1

To write $6$ as a fraction with a common denominator, multiply by $\frac{45}{45}$ .

$6 \cdot \frac{45}{45} + \frac{36}{45}$

Step 1.2.2

Combine $6$ and $\frac{45}{45}$ .

$\frac{6 \cdot 45}{45} + \frac{36}{45}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{6 \cdot 45 + 36}{45}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $6$ by $45$ .

$\frac{270 + 36}{45}$

Step 1.2.4.2

Add $270$ and $36$ .

$\frac{306}{45}$

Step 2

Cancel the common factor of $306$ and $45$ .

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Step 2.1

Factor $9$ out of $306$ .

$\frac{9 (34)}{45}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor $9$ out of $45$ .

$\frac{9 \cdot 34}{9 \cdot 5}$

Step 2.2.2

Cancel the common factor.

$\frac{9 \cdot 34}{9 \cdot 5}$

Step 2.2.3

Rewrite the expression.

$\frac{34}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{34}{5}$

Decimal Form:

$6.8$

Mixed Number Form:

$6 \frac{4}{5}$