Basic Math Examples

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

Step 1

Factor $- l$ out of $- \frac{1}{3} l + l$ .

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Step 1.1

Move $\frac{1}{3}$ .

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

Step 1.2

Rewrite $l$ as $1 l$ .

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

Step 1.3

Factor $- l$ out of $1 l$ .

$- 1 l (\frac{1}{3}) - l (- 1)$

Step 1.4

Factor $- 1 l$ out of $- 1 l (\frac{1}{3}) - l (- 1)$ .

$- 1 l (\frac{1}{3} - 1)$

Step 2

To write $- 1$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- 1 l (\frac{1}{3} - 1 \cdot \frac{3}{3})$

Step 3

Combine $- 1$ and $\frac{3}{3}$ .

$- 1 l (\frac{1}{3} + \frac{- 1 \cdot 3}{3})$

Step 4

Combine the numerators over the common denominator.

$- 1 l \frac{1 - 1 \cdot 3}{3}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply $- 1$ by $3$ .

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

Step 5.2

Subtract $3$ from $1$ .

$- 1 l \frac{- 2}{3}$

Step 6

Factor.

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Step 6.1

Move the negative in front of the fraction.

$- 1 l (- \frac{2}{3})$

Step 6.2

Remove unnecessary parentheses.

$- 1 l \cdot - 1 \frac{2}{3}$

Step 7

Combine exponents.

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Step 7.1

Factor out negative.

$- (l \cdot - 1 \frac{2}{3})$

Step 7.2

Combine $l$ and $\frac{2}{3}$ .

$- - \frac{l \cdot 2}{3}$

Step 7.3

Multiply $- 1$ by $- 1$ .

$1 \frac{l \cdot 2}{3}$

Step 7.4

Multiply $\frac{l \cdot 2}{3}$ by $1$ .

$\frac{l \cdot 2}{3}$