Solve (-9/10)*(5/6-11/9)

$$( - \frac { 9 } { 10 } ) \times ( \frac { 5 } { 6 } - 1 \frac { 1 } { 9 } )$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Multiply 1 and 9 to get 9.

$$-\frac{9}{10}\left(\frac{5}{6}-\frac{9+1}{9}\right)$$

Add 9 and 1 to get 10.

$$-\frac{9}{10}\left(\frac{5}{6}-\frac{10}{9}\right)$$

Least common multiple of 6 and 9 is 18. Convert \frac{5}{6} and \frac{10}{9} to fractions with denominator 18.

$$-\frac{9}{10}\left(\frac{15}{18}-\frac{20}{18}\right)$$

Since \frac{15}{18} and \frac{20}{18} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{9}{10}\times \frac{15-20}{18}$$

Subtract 20 from 15 to get -5.

$$-\frac{9}{10}\left(-\frac{5}{18}\right)$$

Multiply -\frac{9}{10} times -\frac{5}{18} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-9\left(-5\right)}{10\times 18}$$

Do the multiplications in the fraction \frac{-9\left(-5\right)}{10\times 18}.

$$\frac{45}{180}$$

Reduce the fraction \frac{45}{180} to lowest terms by extracting and canceling out 45.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$