Basic Math Examples

7 - 2 \frac{1}{2}

$7 - 2 \frac{1}{2}$

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.

7 - (2 + \frac{1}{2})

$7 - (2 + \frac{1}{2})$

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}

$\frac{2}{2}$ .

7 - (2 \cdot \frac{2}{2} + \frac{1}{2})

$7 - (2 \cdot \frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine

2

$2$ and

\frac{2}{2}

$\frac{2}{2}$ .

7 - (\frac{2 \cdot 2}{2} + \frac{1}{2})

$7 - (\frac{2 \cdot 2}{2} + \frac{1}{2})$

Step 1.2.3

Combine the numerators over the common denominator.

7 - \frac{2 \cdot 2 + 1}{2}

$7 - \frac{2 \cdot 2 + 1}{2}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

2

$2$ by

2

$2$ .

7 - \frac{4 + 1}{2}

$7 - \frac{4 + 1}{2}$

Step 1.2.4.2

Add

4

$4$ and

1

$1$ .

7 - \frac{5}{2}

$7 - \frac{5}{2}$

7 - \frac{5}{2}

$7 - \frac{5}{2}$

7 - \frac{5}{2}

$7 - \frac{5}{2}$

7 - \frac{5}{2}

$7 - \frac{5}{2}$

Step 2

To write

7

$7$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

7 \cdot \frac{2}{2} - \frac{5}{2}

$7 \cdot \frac{2}{2} - \frac{5}{2}$

Step 3

Combine

$7$ and

$\frac{2}{2}$ .

$\frac{7 \cdot 2}{2} - \frac{5}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{7 \cdot 2 - 5}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$7$ by

$2$ .

$\frac{14 - 5}{2}$

Step 5.2

Subtract

$5$ from

$14$ .

$\frac{9}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{9}{2}$

Decimal Form:

$4.5$

Mixed Number Form:

$4 \frac{1}{2}$