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 6 and 15:
LCD = LCM(6, 15) = 30
Express the given fractions as equivalent fractions with respect to the LCD (30):
Since the equivalent fractions have common denominators, we can add the numerators:
5/6
+ 2/15
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 6 and 15:
LCD = LCM(6, 15) = 30
Express the given fractions as equivalent fractions with respect to the LCD (30):
5/6
= 25/30
and 2/15
= 4/30
As a result, 5/6
+ 2/15
= 25/30
+ 4/30
Since the equivalent fractions have common denominators, we can add the numerators:
25/30
+ 4/30
= 25 + 4/30
= 29/30
29/30
is in Simplest Form since the Greatest Common Factor of 29 and 30 equals 1, GCF(29, 30) = 1Therefore, the Sum of 5/6
and 2/15
is equal to 29/30
in Simplest Form: 5/6
+ 2/15
= 29/30