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 15 and 35:
LCD = LCM(15, 35) = 105
Express the given fractions as equivalent fractions with respect to the LCD (105):
Since the equivalent fractions have common denominators, we can add the numerators:
8/15
+ 1/35
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 15 and 35:
LCD = LCM(15, 35) = 105
Express the given fractions as equivalent fractions with respect to the LCD (105):
8/15
= 56/105
and 1/35
= 3/105
As a result, 8/15
+ 1/35
= 56/105
+ 3/105
Since the equivalent fractions have common denominators, we can add the numerators:
56/105
+ 3/105
= 56 + 3/105
= 59/105
59/105
is in Simplest Form since the Greatest Common Factor of 59 and 105 equals 1, GCF(59, 105) = 1Therefore, the Sum of 8/15
and 1/35
is equal to 59/105
in Simplest Form: 8/15
+ 1/35
= 59/105