Basic Math Examples

5 \frac{20}{32}

$5 \frac{20}{32}$

Step 1

Convert

5 \frac{20}{32}

$5 \frac{20}{32}$ 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{20}{32}

$5 + \frac{20}{32}$

Step 1.2

Add

5

$5$ and

\frac{20}{32}

$\frac{20}{32}$ .

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Step 1.2.1

To write

5

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

\frac{32}{32}

$\frac{32}{32}$ .

5 \cdot \frac{32}{32} + \frac{20}{32}

$5 \cdot \frac{32}{32} + \frac{20}{32}$

Step 1.2.2

Combine

5

$5$ and

\frac{32}{32}

$\frac{32}{32}$ .

\frac{5 \cdot 32}{32} + \frac{20}{32}

$\frac{5 \cdot 32}{32} + \frac{20}{32}$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{5 \cdot 32 + 20}{32}

$\frac{5 \cdot 32 + 20}{32}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

5

$5$ by

32

$32$ .

\frac{160 + 20}{32}

$\frac{160 + 20}{32}$

Step 1.2.4.2

Add

160

$160$ and

20

$20$ .

\frac{180}{32}

$\frac{180}{32}$

\frac{180}{32}

$\frac{180}{32}$

Step 2

Cancel the common factor of

$180$ and

$32$ .

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Step 2.1

Factor

$4$ out of

$180$ .

$\frac{4 (45)}{32}$

Step 2.2

Cancel the common factors.

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Step 2.2.1

Factor

$4$ out of

$32$ .

$\frac{4 \cdot 45}{4 \cdot 8}$

Step 2.2.2

Cancel the common factor.

$\frac{4 \cdot 45}{4 \cdot 8}$

Step 2.2.3

Rewrite the expression.

$\frac{45}{8}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{45}{8}$

Decimal Form:

$5.625$

Mixed Number Form:

$5 \frac{5}{8}$