Solve .3-11/7-8/7

$$.3 - 1 \frac { 1 } { 7 } - \frac { 8 } { 7 }$$

Evaluate

$$-\frac{139}{70}\approx -1.985714286$$

Solution Steps

Multiply 1 and 7 to get 7.

$$0.3-\frac{7+1}{7}-\frac{8}{7}$$

Add 7 and 1 to get 8.

$$0.3-\frac{8}{7}-\frac{8}{7}$$

Convert decimal number 0.3 to fraction \frac{3}{10}.

$$\frac{3}{10}-\frac{8}{7}-\frac{8}{7}$$

Least common multiple of 10 and 7 is 70. Convert \frac{3}{10} and \frac{8}{7} to fractions with denominator 70.

$$\frac{21}{70}-\frac{80}{70}-\frac{8}{7}$$

Since \frac{21}{70} and \frac{80}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{21-80}{70}-\frac{8}{7}$$

Subtract 80 from 21 to get -59.

$$-\frac{59}{70}-\frac{8}{7}$$

Least common multiple of 70 and 7 is 70. Convert -\frac{59}{70} and \frac{8}{7} to fractions with denominator 70.

$$-\frac{59}{70}-\frac{80}{70}$$

Since -\frac{59}{70} and \frac{80}{70} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-59-80}{70}$$

Subtract 80 from -59 to get -139.

$$-\frac{139}{70}$$

Factor

$$-\frac{139}{70} = -1\frac{69}{70} = -1.9857142857142858$$