Basic Math Examples

$8 - 3 \frac{2}{5}$

Step 1

Convert

$3 \frac{2}{5}$ to an improper fraction.

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Step 1.1

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

$8 - (3 + \frac{2}{5})$

Step 1.2

Add

$3$ and

$\frac{2}{5}$ .

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Step 1.2.1

To write

$3$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$8 - (3 \cdot \frac{5}{5} + \frac{2}{5})$

Step 1.2.2

Combine

$3$ and

$\frac{5}{5}$ .

$8 - (\frac{3 \cdot 5}{5} + \frac{2}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

$8 - \frac{3 \cdot 5 + 2}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$3$ by

$5$ .

$8 - \frac{15 + 2}{5}$

Step 1.2.4.2

Add

$15$ and

$2$ .

$8 - \frac{17}{5}$

Step 2

To write

$8$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$8 \cdot \frac{5}{5} - \frac{17}{5}$

Step 3

Combine

$8$ and

$\frac{5}{5}$ .

$\frac{8 \cdot 5}{5} - \frac{17}{5}$

Step 4

Combine the numerators over the common denominator.

$\frac{8 \cdot 5 - 17}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

$8$ by

$5$ .

$\frac{40 - 17}{5}$

Step 5.2

Subtract

$17$ from

$40$ .

$\frac{23}{5}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{23}{5}$

Decimal Form:

$4.6$

Mixed Number Form:

$4 \frac{3}{5}$