Basic Math Examples

2 \frac{1}{2} \div 2

$2 \frac{1}{2} \div 2$

Step 1

Convert

2 \frac{1}{2}

$2 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

(2 + \frac{1}{2}) \div 2

$(2 + \frac{1}{2}) \div 2$

Step 1.2

Add

2

$2$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

2

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

\frac{2}{2}

$\frac{2}{2}$ .

(2 \cdot \frac{2}{2} + \frac{1}{2}) \div 2

$(2 \cdot \frac{2}{2} + \frac{1}{2}) \div 2$

Step 1.2.2

Combine

2

$2$ and

\frac{2}{2}

$\frac{2}{2}$ .

(\frac{2 \cdot 2}{2} + \frac{1}{2}) \div 2

$(\frac{2 \cdot 2}{2} + \frac{1}{2}) \div 2$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{2 \cdot 2 + 1}{2} \div 2

$\frac{2 \cdot 2 + 1}{2} \div 2$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

2

$2$ .

\frac{4 + 1}{2} \div 2

$\frac{4 + 1}{2} \div 2$

Step 1.2.4.2

Add

4

$4$ and

1

$1$ .

\frac{5}{2} \div 2

$\frac{5}{2} \div 2$

\frac{5}{2} \div 2

$\frac{5}{2} \div 2$

\frac{5}{2} \div 2

$\frac{5}{2} \div 2$

\frac{5}{2} \div 2

$\frac{5}{2} \div 2$

Step 2

Rewrite the division as a fraction.

\frac{\frac{5}{2}}{2}

$\frac{\frac{5}{2}}{2}$

Step 3

Multiply the numerator by the reciprocal of the denominator.

\frac{5}{2} \cdot \frac{1}{2}

$\frac{5}{2} \cdot \frac{1}{2}$

Step 4

Multiply

\frac{5}{2} \cdot \frac{1}{2}

$\frac{5}{2} \cdot \frac{1}{2}$ .

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Step 4.1

Multiply

\frac{5}{2}

$\frac{5}{2}$ by

\frac{1}{2}

$\frac{1}{2}$ .

\frac{5}{2 \cdot 2}

$\frac{5}{2 \cdot 2}$

Step 4.2

Multiply

2

$2$ by

2

$2$ .

\frac{5}{4}

$\frac{5}{4}$

\frac{5}{4}

$\frac{5}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

\frac{5}{4}

$\frac{5}{4}$

Decimal Form:

1.25

$1.25$

Mixed Number Form:

1 \frac{1}{4}

$1 \frac{1}{4}$