Basic Math Examples

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

Step 1

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

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Step 1.1

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

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

Step 1.2

Add $1$ and $\frac{1}{5}$ .

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Step 1.2.1

Write $1$ as a fraction with a common denominator.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $5$ and $1$ .

$- 5 - - \frac{6}{5}$

Step 2

Multiply $- - \frac{6}{5}$ .

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Step 2.1

Multiply $- 1$ by $- 1$ .

$- 5 + 1 (\frac{6}{5})$

Step 2.2

Multiply $\frac{6}{5}$ by $1$ .

$- 5 + \frac{6}{5}$

Step 3

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

$- 5 \cdot \frac{5}{5} + \frac{6}{5}$

Step 4

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

$\frac{- 5 \cdot 5}{5} + \frac{6}{5}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 5 \cdot 5 + 6}{5}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 5$ by $5$ .

$\frac{- 25 + 6}{5}$

Step 6.2

Add $- 25$ and $6$ .

$\frac{- 19}{5}$

Step 7

Move the negative in front of the fraction.

$- \frac{19}{5}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{19}{5}$

Decimal Form:

$- 3.8$

Mixed Number Form:

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