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
+ 4/12
, which equals 3/4
+ 1/3
(second fraction simplified)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 1/3
= 4/12
As a result, 3/4
+ 1/3
= 9/12
+ 4/12
Since the equivalent fractions have common denominators, we can add the numerators:
9/12
+ 4/12
= 9 + 4/12
= 13/12
13/12
is in Simplest Form since the Greatest Common Factor of 12 and 13 equals 1, GCF(12, 13) = 1Therefore, the Sum of 3/4
and 4/12
is equal to 13/12
in Simplest Form: 3/4
+ 4/12
= 13/12
Note: 13/12
is an improper fraction, and as a mixed number, 13/12
= 11/12