Solve E=3/4-7/10--5/8

$$E = \frac { 3 } { 4 } - \frac { 7 } { 10 } - \frac { - 5 } { 8 }$$

Solve for E

$$E=\frac{27}{40}=0.675$$

Steps for Solving Linear Equation

Least common multiple of 4 and 10 is 20. Convert \frac{3}{4} and \frac{7}{10} to fractions with denominator 20.

$$E=\frac{15}{20}-\frac{14}{20}-\frac{-5}{8}$$

Since \frac{15}{20} and \frac{14}{20} have the same denominator, subtract them by subtracting their numerators.

$$E=\frac{15-14}{20}-\frac{-5}{8}$$

Subtract 14 from 15 to get 1.

$$E=\frac{1}{20}-\frac{-5}{8}$$

Fraction \frac{-5}{8} can be rewritten as -\frac{5}{8} by extracting the negative sign.

$$E=\frac{1}{20}-\left(-\frac{5}{8}\right)$$

The opposite of -\frac{5}{8} is \frac{5}{8}.

$$E=\frac{1}{20}+\frac{5}{8}$$

Least common multiple of 20 and 8 is 40. Convert \frac{1}{20} and \frac{5}{8} to fractions with denominator 40.

$$E=\frac{2}{40}+\frac{25}{40}$$

Since \frac{2}{40} and \frac{25}{40} have the same denominator, add them by adding their numerators.

$$E=\frac{2+25}{40}$$

Add 2 and 25 to get 27.

$$E=\frac{27}{40}$$

Assign E

$$E≔\frac{27}{40}$$