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 5:
LCD = LCM(3, 5) = 15
Express the given fractions as equivalent fractions with respect to the LCD (15):
Since the equivalent fractions have common denominators, we can add the numerators:
1/5
+ 2/3
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 5:
LCD = LCM(3, 5) = 15
Express the given fractions as equivalent fractions with respect to the LCD (15):
1/5
= 3/15
and 2/3
= 10/15
As a result, 1/5
+ 2/3
= 3/15
+ 10/15
Since the equivalent fractions have common denominators, we can add the numerators:
3/15
+ 10/15
= 3 + 10/15
= 13/15
13/15
is in Simplest Form since the Greatest Common Factor of 13 and 15 equals 1, GCF(13, 15) = 1Therefore, the Sum of 1/5
and 2/3
is equal to 13/15
in Simplest Form: 1/5
+ 2/3
= 13/15