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 2 and 4:
LCD = LCM(2, 4) = 4
Express the given fractions as equivalent fractions with respect to the LCD (4):
Since the equivalent fractions have common denominators, we can add the numerators:
-1/2
+ 3/4
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 2 and 4:
LCD = LCM(2, 4) = 4
Express the given fractions as equivalent fractions with respect to the LCD (4):
-1/2
= -2/4
and 3/4
= 3/4
As a result, -1/2
+ 3/4
= -2/4
+ 3/4
Since the equivalent fractions have common denominators, we can add the numerators:
-2/4
+ 3/4
= -2 + 3/4
= 1/4
1/4
is in Simplest Form since the Greatest Common Factor of 1 and 4 equals 1, GCF(1, 4) = 1Therefore, the Sum of -1/2
and 3/4
is equal to 1/4
in Simplest Form: -1/2
+ 3/4
= 1/4
Note: -1/2
+ 3/4
= 3/4
− 1/2