Basic Math Examples

\frac{15}{1} - 7 \frac{1}{2}

$\frac{15}{1} - 7 \frac{1}{2}$

Step 1

Convert

7 \frac{1}{2}

$7 \frac{1}{2}$ to an improper fraction.

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Step 1.1

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

\frac{15}{1} - (7 + \frac{1}{2})

$\frac{15}{1} - (7 + \frac{1}{2})$

Step 1.2

Add

7

$7$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

To write

7

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

\frac{2}{2}

$\frac{2}{2}$ .

\frac{15}{1} - (7 \cdot \frac{2}{2} + \frac{1}{2})

$\frac{15}{1} - (7 \cdot \frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine

7

$7$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{15}{1} - (\frac{7 \cdot 2}{2} + \frac{1}{2})

$\frac{15}{1} - (\frac{7 \cdot 2}{2} + \frac{1}{2})$

Step 1.2.3

Combine the numerators over the common denominator.

\frac{15}{1} - \frac{7 \cdot 2 + 1}{2}

$\frac{15}{1} - \frac{7 \cdot 2 + 1}{2}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

7

$7$ by

2

$2$ .

\frac{15}{1} - \frac{14 + 1}{2}

$\frac{15}{1} - \frac{14 + 1}{2}$

Step 1.2.4.2

Add

14

$14$ and

1

$1$ .

\frac{15}{1} - \frac{15}{2}

$\frac{15}{1} - \frac{15}{2}$

\frac{15}{1} - \frac{15}{2}

$\frac{15}{1} - \frac{15}{2}$

\frac{15}{1} - \frac{15}{2}

$\frac{15}{1} - \frac{15}{2}$

\frac{15}{1} - \frac{15}{2}

$\frac{15}{1} - \frac{15}{2}$

Step 2

Divide

15

$15$ by

1

$1$ .

15 - \frac{15}{2}

$15 - \frac{15}{2}$

Step 3

To write

15

$15$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

15 \cdot \frac{2}{2} - \frac{15}{2}

$15 \cdot \frac{2}{2} - \frac{15}{2}$

Step 4

Combine

15

$15$ and

\frac{2}{2}

$\frac{2}{2}$ .

\frac{15 \cdot 2}{2} - \frac{15}{2}

$\frac{15 \cdot 2}{2} - \frac{15}{2}$

Step 5

Combine the numerators over the common denominator.

\frac{15 \cdot 2 - 15}{2}

$\frac{15 \cdot 2 - 15}{2}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

15

$15$ by

2

$2$ .

\frac{30 - 15}{2}

$\frac{30 - 15}{2}$

Step 6.2

Subtract

15

$15$ from

30

$30$ .

\frac{15}{2}

$\frac{15}{2}$

\frac{15}{2}

$\frac{15}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{15}{2}

$\frac{15}{2}$

Decimal Form:

7.5

$7.5$

Mixed Number Form:

7 \frac{1}{2}

$7 \frac{1}{2}$