Basic Math Examples

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

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.

$- 1 - (2 + \frac{2}{5})$

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 $\frac{5}{5}$ .

$- 1 - (2 \cdot \frac{5}{5} + \frac{2}{5})$

Step 1.2.2

Combine $2$ and $\frac{5}{5}$ .

$- 1 - (\frac{2 \cdot 5}{5} + \frac{2}{5})$

Step 1.2.3

Combine the numerators over the common denominator.

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

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply $2$ by $5$ .

$- 1 - \frac{10 + 2}{5}$

Step 1.2.4.2

Add $10$ and $2$ .

$- 1 - \frac{12}{5}$

Step 2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- 1 \cdot \frac{5}{5} - \frac{12}{5}$

Step 3

Combine $- 1$ and $\frac{5}{5}$ .

$\frac{- 1 \cdot 5}{5} - \frac{12}{5}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 1 \cdot 5 - 12}{5}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 1$ by $5$ .

$\frac{- 5 - 12}{5}$

Step 5.2

Subtract $12$ from $- 5$ .

$\frac{- 17}{5}$

Step 6

Move the negative in front of the fraction.

$- \frac{17}{5}$