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 15:
LCD = LCM(4, 15) = 60
Express the given fractions as equivalent fractions with respect to the LCD (60):
Since the equivalent fractions have common denominators, we can add the numerators:
19/15
+ 1/4
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 15:
LCD = LCM(4, 15) = 60
Express the given fractions as equivalent fractions with respect to the LCD (60):
19/15
= 76/60
and 1/4
= 15/60
As a result, 19/15
+ 1/4
= 76/60
+ 15/60
Since the equivalent fractions have common denominators, we can add the numerators:
76/60
+ 15/60
= 76 + 15/60
= 91/60
91/60
is in Simplest Form since the Greatest Common Factor of 60 and 91 equals 1, GCF(60, 91) = 1Therefore, the Sum of 19/15
and 1/4
is equal to 91/60
in Simplest Form: 19/15
+ 1/4
= 91/60
Note: 91/60
is an improper fraction, and as a mixed number, 91/60
= 131/60