Basic Math Examples

3 \frac{11}{20}

$3 \frac{11}{20}$

Step 1

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

3 + \frac{11}{20}

$3 + \frac{11}{20}$

Step 2

Add

3

$3$ and

\frac{11}{20}

$\frac{11}{20}$ .

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Step 2.1

To write

3

$3$ as a fraction with a common denominator, multiply by

\frac{20}{20}

$\frac{20}{20}$ .

3 \cdot \frac{20}{20} + \frac{11}{20}

$3 \cdot \frac{20}{20} + \frac{11}{20}$

Step 2.2

Combine

3

$3$ and

\frac{20}{20}

$\frac{20}{20}$ .

\frac{3 \cdot 20}{20} + \frac{11}{20}

$\frac{3 \cdot 20}{20} + \frac{11}{20}$

Step 2.3

Combine the numerators over the common denominator.

\frac{3 \cdot 20 + 11}{20}

$\frac{3 \cdot 20 + 11}{20}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

3

$3$ by

20

$20$ .

\frac{60 + 11}{20}

$\frac{60 + 11}{20}$

Step 2.4.2

Add

60

$60$ and

11

$11$ .

\frac{71}{20}

$\frac{71}{20}$

\frac{71}{20}

$\frac{71}{20}$

\frac{71}{20}

$\frac{71}{20}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{71}{20}

$\frac{71}{20}$

Decimal Form:

3.55

$3.55$

Mixed Number Form:

3 \frac{11}{20}

$3 \frac{11}{20}$