Basic Math Examples

$- \frac{10}{9} - (- \frac{1}{6})$

Step 1

Multiply $- (- \frac{1}{6})$ .

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Step 1.1

Multiply $- 1$ by $- 1$ .

$- \frac{10}{9} + 1 (\frac{1}{6})$

Step 1.2

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

$- \frac{10}{9} + \frac{1}{6}$

Step 2

To write $- \frac{10}{9}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{10}{9} \cdot \frac{2}{2} + \frac{1}{6}$

Step 3

To write $\frac{1}{6}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{10}{9} \cdot \frac{2}{2} + \frac{1}{6} \cdot \frac{3}{3}$

Step 4

Write each expression with a common denominator of $18$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{10}{9}$ by $\frac{2}{2}$ .

$- \frac{10 \cdot 2}{9 \cdot 2} + \frac{1}{6} \cdot \frac{3}{3}$

Step 4.2

Multiply $9$ by $2$ .

$- \frac{10 \cdot 2}{18} + \frac{1}{6} \cdot \frac{3}{3}$

Step 4.3

Multiply $\frac{1}{6}$ by $\frac{3}{3}$ .

$- \frac{10 \cdot 2}{18} + \frac{3}{6 \cdot 3}$

Step 4.4

Multiply $6$ by $3$ .

$- \frac{10 \cdot 2}{18} + \frac{3}{18}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 10 \cdot 2 + 3}{18}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 10$ by $2$ .

$\frac{- 20 + 3}{18}$

Step 6.2

Add $- 20$ and $3$ .

$\frac{- 17}{18}$

Step 7

Move the negative in front of the fraction.

$- \frac{17}{18}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{17}{18}$

Decimal Form:

$- 0.9\overline{4}$