Solve I=4/3+6div(3/2-11/2)

$$I = \frac { 4 } { 3 } + 6 \div ( \frac { 3 } { 2 } - \frac { 11 } { 2 } )$$

Solve for I

$$I=-\frac{1}{6}\approx -0.166666667$$

Steps for Solving Linear Equation

Since \frac{3}{2} and \frac{11}{2} have the same denominator, subtract them by subtracting their numerators.

$$I=\frac{4}{3}+\frac{6}{\frac{3-11}{2}}$$

Subtract 11 from 3 to get -8.

$$I=\frac{4}{3}+\frac{6}{\frac{-8}{2}}$$

Divide -8 by 2 to get -4.

$$I=\frac{4}{3}+\frac{6}{-4}$$

Reduce the fraction \frac{6}{-4} to lowest terms by extracting and canceling out 2.

$$I=\frac{4}{3}-\frac{3}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{4}{3} and \frac{3}{2} to fractions with denominator 6.

$$I=\frac{8}{6}-\frac{9}{6}$$

Since \frac{8}{6} and \frac{9}{6} have the same denominator, subtract them by subtracting their numerators.

$$I=\frac{8-9}{6}$$

Subtract 9 from 8 to get -1.

$$I=-\frac{1}{6}$$

Assign I

$$I≔-\frac{1}{6}$$