Solve 5/6-(3div22/3)=

$$\frac { 5 } { 6 } - ( 3 \div 2 \frac { 2 } { 3 } ) =$$

Evaluate

$$-\frac{7}{24}\approx -0.291666667$$

Solution Steps

Divide 3 by \frac{2\times 3+2}{3} by multiplying 3 by the reciprocal of \frac{2\times 3+2}{3}.

$$\frac{5}{6}-\frac{3\times 3}{2\times 3+2}$$

Multiply 3 and 3 to get 9.

$$\frac{5}{6}-\frac{9}{2\times 3+2}$$

Multiply 2 and 3 to get 6.

$$\frac{5}{6}-\frac{9}{6+2}$$

Add 6 and 2 to get 8.

$$\frac{5}{6}-\frac{9}{8}$$

Least common multiple of 6 and 8 is 24. Convert \frac{5}{6} and \frac{9}{8} to fractions with denominator 24.

$$\frac{20}{24}-\frac{27}{24}$$

Since \frac{20}{24} and \frac{27}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-27}{24}$$

Subtract 27 from 20 to get -7.

$$-\frac{7}{24}$$

Factor

$$-\frac{7}{24} = -0.2916666666666667$$