Basic Math Examples

$3 \frac{2}{5} - 1 \frac{4}{5}$

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.

$3 + \frac{2}{5} - 1 \frac{4}{5}$

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

$\frac{5}{5}$ .

$3 \cdot \frac{5}{5} + \frac{2}{5} - 1 \frac{4}{5}$

Step 1.2.2

Combine

$3$ and

$\frac{5}{5}$ .

$\frac{3 \cdot 5}{5} + \frac{2}{5} - 1 \frac{4}{5}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{3 \cdot 5 + 2}{5} - 1 \frac{4}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$3$ by

$5$ .

$\frac{15 + 2}{5} - 1 \frac{4}{5}$

Step 1.2.4.2

Add

$15$ and

$2$ .

$\frac{17}{5} - 1 \frac{4}{5}$

Step 2

Convert

$1 \frac{4}{5}$ to an improper fraction.

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Step 2.1

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

$\frac{17}{5} - (1 + \frac{4}{5})$

Step 2.2

Add

$1$ and

$\frac{4}{5}$ .

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Step 2.2.1

Write

$1$ as a fraction with a common denominator.

$\frac{17}{5} - (\frac{5}{5} + \frac{4}{5})$

Step 2.2.2

Combine the numerators over the common denominator.

$\frac{17}{5} - \frac{5 + 4}{5}$

Step 2.2.3

Add

$5$ and

$4$ .

$\frac{17}{5} - \frac{9}{5}$

Step 3

Combine the numerators over the common denominator.

$\frac{17 - 9}{5}$

Step 4

Subtract

$9$ from

$17$ .

$\frac{8}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{8}{5}$

Decimal Form:

$1.6$

Mixed Number Form:

$1 \frac{3}{5}$