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 5 and 15:
LCD = LCM(5, 15) = 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:
1/15
+ 7/35
, which equals 1/15
+ 1/5
(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 5 and 15:
LCD = LCM(5, 15) = 15
Express the given fractions as equivalent fractions with respect to the LCD (15):
1/15
= 1/15
and 1/5
= 3/15
As a result, 1/15
+ 1/5
= 1/15
+ 3/15
Since the equivalent fractions have common denominators, we can add the numerators:
1/15
+ 3/15
= 1 + 3/15
= 4/15
4/15
is in Simplest Form since the Greatest Common Factor of 4 and 15 equals 1, GCF(4, 15) = 1Therefore, the Sum of 1/15
and 7/35
is equal to 4/15
in Simplest Form: 1/15
+ 7/35
= 4/15