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