Basic Math Examples

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

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

Step 1

Convert

1 \frac{1}{2}

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

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Step 1.1

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

\frac{4}{1} - (1 + \frac{1}{2})

$\frac{4}{1} - (1 + \frac{1}{2})$

Step 1.2

Add

1

$1$ and

\frac{1}{2}

$\frac{1}{2}$ .

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Step 1.2.1

Write

1

$1$ as a fraction with a common denominator.

\frac{4}{1} - (\frac{2}{2} + \frac{1}{2})

$\frac{4}{1} - (\frac{2}{2} + \frac{1}{2})$

Step 1.2.2

Combine the numerators over the common denominator.

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

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

Step 1.2.3

Add

2

$2$ and

1

$1$ .

\frac{4}{1} - \frac{3}{2}

$\frac{4}{1} - \frac{3}{2}$

\frac{4}{1} - \frac{3}{2}

$\frac{4}{1} - \frac{3}{2}$

\frac{4}{1} - \frac{3}{2}

$\frac{4}{1} - \frac{3}{2}$

Step 2

Divide

4

$4$ by

1

$1$ .

4 - \frac{3}{2}

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

Step 3

To write

4

$4$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 4

Combine

4

$4$ and

\frac{2}{2}

$\frac{2}{2}$ .

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

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

Step 5

Combine the numerators over the common denominator.

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

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

Step 6

Simplify the numerator.

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Step 6.1

Multiply

4

$4$ by

2

$2$ .

\frac{8 - 3}{2}

$\frac{8 - 3}{2}$

Step 6.2

Subtract

3

$3$ from

8

$8$ .

\frac{5}{2}

$\frac{5}{2}$

\frac{5}{2}

$\frac{5}{2}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{5}{2}

$\frac{5}{2}$

Decimal Form:

2.5

$2.5$

Mixed Number Form:

2 \frac{1}{2}

$2 \frac{1}{2}$