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):
Since the equivalent fractions have common denominators, we can add the numerators:
-3/10
+ 7/8
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):
-3/10
= -12/40
and 7/8
= 35/40
As a result, -3/10
+ 7/8
= -12/40
+ 35/40
Since the equivalent fractions have common denominators, we can add the numerators:
-12/40
+ 35/40
= -12 + 35/40
= 23/40
23/40
is in Simplest Form since the Greatest Common Factor of 23 and 40 equals 1, GCF(23, 40) = 1Therefore, the Sum of -3/10
and 7/8
is equal to 23/40
in Simplest Form: -3/10
+ 7/8
= 23/40
Note: -3/10
+ 7/8
= 7/8
− 3/10