Basic Math Examples

$40 + 1 \frac{1}{2}$

Step 1

Convert

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

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Step 1.1

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

$40 + 1 + \frac{1}{2}$

Step 1.2

Add

$1$ and

$\frac{1}{2}$ .

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Step 1.2.1

Write

$1$ as a fraction with a common denominator.

$40 + \frac{2}{2} + \frac{1}{2}$

Step 1.2.2

Combine the numerators over the common denominator.

$40 + \frac{2 + 1}{2}$

Step 1.2.3

Add

$2$ and

$1$ .

$40 + \frac{3}{2}$

Step 2

To write

$40$ as a fraction with a common denominator, multiply by

$\frac{2}{2}$ .

$40 \cdot \frac{2}{2} + \frac{3}{2}$

Step 3

Combine

$40$ and

$\frac{2}{2}$ .

$\frac{40 \cdot 2}{2} + \frac{3}{2}$

Step 4

Combine the numerators over the common denominator.

$\frac{40 \cdot 2 + 3}{2}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$40$ by

$2$ .

$\frac{80 + 3}{2}$

Step 5.2

Add

$80$ and

$3$ .

$\frac{83}{2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{83}{2}$

Decimal Form:

$41.5$

Mixed Number Form:

$41 \frac{1}{2}$