Basic Math Examples

$\frac{- 1}{5} - \frac{- 2}{- 3}$

Step 1

Simplify each term.

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Step 1.1

Move the negative in front of the fraction.

$- \frac{1}{5} - \frac{- 2}{- 3}$

Step 1.2

Dividing two negative values results in a positive value.

$- \frac{1}{5} - \frac{2}{3}$

Step 2

To write $- \frac{1}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{1}{5} \cdot \frac{3}{3} - \frac{2}{3}$

Step 3

To write $- \frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{1}{5} \cdot \frac{3}{3} - \frac{2}{3} \cdot \frac{5}{5}$

Step 4

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{1}{5}$ by $\frac{3}{3}$ .

$- \frac{3}{5 \cdot 3} - \frac{2}{3} \cdot \frac{5}{5}$

Step 4.2

Multiply $5$ by $3$ .

$- \frac{3}{15} - \frac{2}{3} \cdot \frac{5}{5}$

Step 4.3

Multiply $\frac{2}{3}$ by $\frac{5}{5}$ .

$- \frac{3}{15} - \frac{2 \cdot 5}{3 \cdot 5}$

Step 4.4

Multiply $3$ by $5$ .

$- \frac{3}{15} - \frac{2 \cdot 5}{15}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 3 - 2 \cdot 5}{15}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 2$ by $5$ .

$\frac{- 3 - 10}{15}$

Step 6.2

Subtract $10$ from $- 3$ .

$\frac{- 13}{15}$

Step 7

Move the negative in front of the fraction.

$- \frac{13}{15}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{13}{15}$

Decimal Form:

$- 0.8\overline{6}$