Sum of  

-71/12

and

19/5

in Simplest Form

Given:   +
Since the denominators are not common (not the same), we need to find the Least Common Denominator (LCD), which is equivalent to the Least Common Multiple of 5 and 12:
LCD = LCM(5, 12) = 60
Express the given fractions as equivalent fractions with respect to the LCD (60):
=   and   = As a result,   + = +
Since the equivalent fractions have common denominators, we can add the numerators:
+ = = is in Simplest Form since the Greatest Common Factor of 60 and 127 equals 1, GCF(60, 127) = 1Therefore, the Sum of  

-71/12

and

19/5

is equal to

-127/60

in Simplest Form:  

-71/12

+

19/5

=

-127/60

Notes:

• -127/60
  is an improper fraction, and as a mixed number,  
  -127/60
  = -2
  7/60
•  
  -71/12
  +
  19/5
  =
  19/5
  −
  71/12