Basic Math Examples

$7 (2 \frac{2}{5})$

Step 1

Convert

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

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Step 1.1

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

$7 (2 + \frac{2}{5})$

Step 1.2

Add

$2$ and

$\frac{2}{5}$ .

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Step 1.2.1

To write

$2$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$7 (2 \cdot \frac{5}{5} + \frac{2}{5})$

Step 1.2.2

Combine

$2$ and

$\frac{5}{5}$ .

$7 (\frac{2 \cdot 5}{5} + \frac{2}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

$7 \frac{2 \cdot 5 + 2}{5}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$2$ by

$5$ .

$7 \frac{10 + 2}{5}$

Step 1.2.4.2

Add

$10$ and

$2$ .

$7 (\frac{12}{5})$

Step 2

Multiply

$7 (\frac{12}{5})$ .

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Step 2.1

Combine

$7$ and

$\frac{12}{5}$ .

$\frac{7 \cdot 12}{5}$

Step 2.2

Multiply

$7$ by

$12$ .

$\frac{84}{5}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$\frac{84}{5}$

Decimal Form:

$16.8$

Mixed Number Form:

$16 \frac{4}{5}$