Algebra Examples

$- 1 \frac{1}{5} + (- \frac{3}{5})$

Step 1

Remove parentheses.

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

Step 2

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

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Step 2.1

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

$- (1 + \frac{1}{5}) - \frac{3}{5}$

Step 2.2

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

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Step 2.2.1

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

$- (\frac{5}{5} + \frac{1}{5}) - \frac{3}{5}$

Step 2.2.2

Combine the numerators over the common denominator.

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

Step 2.2.3

Add $5$ and $1$ .

$- \frac{6}{5} - \frac{3}{5}$

Step 3

Combine the numerators over the common denominator.

$\frac{- 6 - 3}{5}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $3$ from $- 6$ .

$\frac{- 9}{5}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{9}{5}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$- \frac{9}{5}$

Decimal Form:

$- 1.8$

Mixed Number Form:

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