Algebra Examples

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

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.

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

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.

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

Step 1.2.2

Combine the numerators over the common denominator.

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

Step 1.2.3

Add $5$ and $1$ .

$5 \cdot (- \frac{6}{5})$

Step 2

Cancel the common factor of $5$ .

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Step 2.1

Move the leading negative in $- \frac{6}{5}$ into the numerator.

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

Step 2.2

Cancel the common factor.

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

Step 2.3

Rewrite the expression.

$- 6$