Solve -10/4+b=2/3

$$- \frac{ 10 }{ 4 } +b = \frac{ 2 }{ 3 }$$

Solve for b

$$b = \frac{19}{6} = 3\frac{1}{6} \approx 3.166666667$$

Steps for Solving Linear Equation

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$-\frac{5}{2}+b=\frac{2}{3}$$

Add \frac{5}{2} to both sides.

$$b=\frac{2}{3}+\frac{5}{2}$$

Least common multiple of 3 and 2 is 6. Convert \frac{2}{3} and \frac{5}{2} to fractions with denominator 6.

$$b=\frac{4}{6}+\frac{15}{6}$$

Since \frac{4}{6} and \frac{15}{6} have the same denominator, add them by adding their numerators.

$$b=\frac{4+15}{6}$$

Add 4 and 15 to get 19.

$$b=\frac{19}{6}$$