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 3 and 4:
LCD = LCM(3, 4) = 12
Express the given fractions as equivalent fractions with respect to the LCD (12):
Since the equivalent fractions have common denominators, we can add the numerators:
-3/4
+ 4/3
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 3 and 4:
LCD = LCM(3, 4) = 12
Express the given fractions as equivalent fractions with respect to the LCD (12):
-3/4
= -9/12
and 4/3
= 16/12
As a result, -3/4
+ 4/3
= -9/12
+ 16/12
Since the equivalent fractions have common denominators, we can add the numerators:
-9/12
+ 16/12
= -9 + 16/12
= 7/12
7/12
is in Simplest Form since the Greatest Common Factor of 7 and 12 equals 1, GCF(7, 12) = 1Therefore, the Sum of -3/4
and 4/3
is equal to 7/12
in Simplest Form: -3/4
+ 4/3
= 7/12
Note: -3/4
+ 4/3
= 4/3
− 3/4