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 4 and 5:
LCD = LCM(4, 5) = 20
Express the given fractions as equivalent fractions with respect to the LCD (20):
Since the equivalent fractions have common denominators, we can add the numerators:
4/5
+ 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 4 and 5:
LCD = LCM(4, 5) = 20
Express the given fractions as equivalent fractions with respect to the LCD (20):
4/5
= 16/20
and 3/4
= 15/20
As a result, 4/5
+ 3/4
= 16/20
+ 15/20
Since the equivalent fractions have common denominators, we can add the numerators:
16/20
+ 15/20
= 16 + 15/20
= 31/20
31/20
is in Simplest Form since the Greatest Common Factor of 20 and 31 equals 1, GCF(20, 31) = 1Therefore, the Sum of 4/5
and 3/4
is equal to 31/20
in Simplest Form: 4/5
+ 3/4
= 31/20
Note: 31/20
is an improper fraction, and as a mixed number, 31/20
= 111/20