Solve [(-8.6)+5.6]-1.4+7/6

$$[ ( - 8.6 ) + 5.6 ] - 1.4 + \frac { 7 } { 6 }$$

Evaluate

$$-\frac{97}{30}\approx -3.233333333$$

Solution Steps

Add -8.6 and 5.6 to get -3.

$$-3-1.4+\frac{7}{6}$$

Subtract 1.4 from -3 to get -4.4.

$$-4.4+\frac{7}{6}$$

Convert decimal number -4.4 to fraction -\frac{44}{10}. Reduce the fraction -\frac{44}{10} to lowest terms by extracting and canceling out 2.

$$-\frac{22}{5}+\frac{7}{6}$$

Least common multiple of 5 and 6 is 30. Convert -\frac{22}{5} and \frac{7}{6} to fractions with denominator 30.

$$-\frac{132}{30}+\frac{35}{30}$$

Since -\frac{132}{30} and \frac{35}{30} have the same denominator, add them by adding their numerators.

$$\frac{-132+35}{30}$$

Add -132 and 35 to get -97.

$$-\frac{97}{30}$$

Factor

$$-\frac{97}{30} = -3\frac{7}{30} = -3.2333333333333334$$