Sum of  

-7/8

and

3/10

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 8 and 10:
LCD = LCM(8, 10) = 40
Express the given fractions as equivalent fractions with respect to the LCD (40):
=   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 23 and 40 equals 1, GCF(23, 40) = 1Therefore, the Sum of  

-7/8

and

3/10

is equal to

-23/40

in Simplest Form:  

-7/8

+

3/10

=

-23/40

Note:   + = −