Solve -61/16+31/80

$$- \frac { 61 } { 16 } + \frac { 31 } { 80 }$$

Evaluate

$$-\frac{137}{40}=-3.425$$

Solution Steps

Least common multiple of 16 and 80 is 80. Convert -\frac{61}{16} and \frac{31}{80} to fractions with denominator 80.

$$-\frac{305}{80}+\frac{31}{80}$$

Since -\frac{305}{80} and \frac{31}{80} have the same denominator, add them by adding their numerators.

$$\frac{-305+31}{80}$$

Add -305 and 31 to get -274.

$$\frac{-274}{80}$$

Reduce the fraction \frac{-274}{80} to lowest terms by extracting and canceling out 2.

$$-\frac{137}{40}$$

Factor

$$-\frac{137}{40} = -3\frac{17}{40} = -3.425$$