Solve 2/5+5/6-8/4=

$$\frac { 2 } { 5 } + \frac { 5 } { 6 } - \frac { 8 } { 4 } =$$

Evaluate

$$-\frac{23}{30}\approx -0.766666667$$

Solution Steps

Least common multiple of 5 and 6 is 30. Convert \frac{2}{5} and \frac{5}{6} to fractions with denominator 30.

$$\frac{12}{30}+\frac{25}{30}-\frac{8}{4}$$

Since \frac{12}{30} and \frac{25}{30} have the same denominator, add them by adding their numerators.

$$\frac{12+25}{30}-\frac{8}{4}$$

Add 12 and 25 to get 37.

$$\frac{37}{30}-\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$\frac{37}{30}-2$$

Convert 2 to fraction \frac{60}{30}.

$$\frac{37}{30}-\frac{60}{30}$$

Since \frac{37}{30} and \frac{60}{30} have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-60}{30}$$

Subtract 60 from 37 to get -23.

$$-\frac{23}{30}$$

Factor

$$-\frac{23}{30} = -0.7666666666666667$$