Basic Math Examples

5 \frac{36}{45}

$5 \frac{36}{45}$

Step 1

Convert

5 \frac{36}{45}

$5 \frac{36}{45}$ to an improper fraction.

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Step 1.1

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

5 + \frac{36}{45}

$5 + \frac{36}{45}$

Step 1.2

Add

5

$5$ and

\frac{36}{45}

$\frac{36}{45}$ .

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Step 1.2.1

To write

5

$5$ as a fraction with a common denominator, multiply by

\frac{45}{45}

$\frac{45}{45}$ .

5 \cdot \frac{45}{45} + \frac{36}{45}

$5 \cdot \frac{45}{45} + \frac{36}{45}$

Step 1.2.2

Combine

5

$5$ and

\frac{45}{45}

$\frac{45}{45}$ .

\frac{5 \cdot 45}{45} + \frac{36}{45}

$\frac{5 \cdot 45}{45} + \frac{36}{45}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 45 + 36}{45}

$\frac{5 \cdot 45 + 36}{45}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

5

$5$ by

45

$45$ .

\frac{225 + 36}{45}

$\frac{225 + 36}{45}$

Step 1.2.4.2

Add

225

$225$ and

36

$36$ .

\frac{261}{45}

$\frac{261}{45}$

\frac{261}{45}

$\frac{261}{45}$

\frac{261}{45}

$\frac{261}{45}$

\frac{261}{45}

$\frac{261}{45}$

Step 2

Cancel the common factor of

261

$261$ and

45

$45$ .

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Step 2.1

Factor

9

$9$ out of

261

$261$ .

\frac{9 (29)}{45}

$\frac{9 (29)}{45}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

9

$9$ out of

45

$45$ .

\frac{9 \cdot 29}{9 \cdot 5}

$\frac{9 \cdot 29}{9 \cdot 5}$

Step 2.2.2

Cancel the common factor.

$\frac{9 \cdot 29}{9 \cdot 5}$

Step 2.2.3

Rewrite the expression.

$\frac{29}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{29}{5}$

Decimal Form:

$5.8$

Mixed Number Form:

$5 \frac{4}{5}$