Solve E=2/9-5/6+4/15

$$E = \frac { 2 } { 9 } - \frac { 5 } { 6 } + \frac { 4 } { 15 }$$

Solve for E

$$E=-\frac{31}{90}\approx -0.344444444$$

Steps for Solving Linear Equation

Least common multiple of 9 and 6 is 18. Convert \frac{2}{9} and \frac{5}{6} to fractions with denominator 18.

$$E=\frac{4}{18}-\frac{15}{18}+\frac{4}{15}$$

Since \frac{4}{18} and \frac{15}{18} have the same denominator, subtract them by subtracting their numerators.

$$E=\frac{4-15}{18}+\frac{4}{15}$$

Subtract 15 from 4 to get -11.

$$E=-\frac{11}{18}+\frac{4}{15}$$

Least common multiple of 18 and 15 is 90. Convert -\frac{11}{18} and \frac{4}{15} to fractions with denominator 90.

$$E=-\frac{55}{90}+\frac{24}{90}$$

Since -\frac{55}{90} and \frac{24}{90} have the same denominator, add them by adding their numerators.

$$E=\frac{-55+24}{90}$$

Add -55 and 24 to get -31.

$$E=-\frac{31}{90}$$

Assign E

$$E≔-\frac{31}{90}$$