Solve -1/3-2/3*9/4

$$- \frac { 1 } { 3 } - \frac { 2 } { 3 } \times \frac { 9 } { 4 }$$

Evaluate

$$-\frac{11}{6}\approx -1.833333333$$

Solution Steps

Multiply \frac{2}{3} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{3}-\frac{2\times 9}{3\times 4}$$

Do the multiplications in the fraction \frac{2\times 9}{3\times 4}.

$$-\frac{1}{3}-\frac{18}{12}$$

Reduce the fraction \frac{18}{12} to lowest terms by extracting and canceling out 6.

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

Least common multiple of 3 and 2 is 6. Convert -\frac{1}{3} and \frac{3}{2} to fractions with denominator 6.

$$-\frac{2}{6}-\frac{9}{6}$$

Since -\frac{2}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-9}{6}$$

Subtract 9 from -2 to get -11.

$$-\frac{11}{6}$$

Factor

$$-\frac{11}{6} = -1\frac{5}{6} = -1.8333333333333333$$