Basic Math Examples

2 \frac{3}{4}

$2 \frac{3}{4}$

Step 1

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

2 + \frac{3}{4}

$2 + \frac{3}{4}$

Step 2

Add

2

$2$ and

\frac{3}{4}

$\frac{3}{4}$ .

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Step 2.1

To write

2

$2$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

2 \cdot \frac{4}{4} + \frac{3}{4}

$2 \cdot \frac{4}{4} + \frac{3}{4}$

Step 2.2

Combine

2

$2$ and

\frac{4}{4}

$\frac{4}{4}$ .

\frac{2 \cdot 4}{4} + \frac{3}{4}

$\frac{2 \cdot 4}{4} + \frac{3}{4}$

Step 2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 4 + 3}{4}

$\frac{2 \cdot 4 + 3}{4}$

Step 2.4

Simplify the numerator.

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Step 2.4.1

Multiply

2

$2$ by

4

$4$ .

\frac{8 + 3}{4}

$\frac{8 + 3}{4}$

Step 2.4.2

Add

8

$8$ and

3

$3$ .

\frac{11}{4}

$\frac{11}{4}$

\frac{11}{4}

$\frac{11}{4}$

\frac{11}{4}

$\frac{11}{4}$

Step 3

The result can be shown in multiple forms.

Exact Form:

\frac{11}{4}

$\frac{11}{4}$

Decimal Form:

2.75

$2.75$

Mixed Number Form:

2 \frac{3}{4}

$2 \frac{3}{4}$