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 10 and 35:
LCD = LCM(10, 35) = 70
Express the given fractions as equivalent fractions with respect to the LCD (70):
Since the equivalent fractions have common denominators, we can add the numerators:
3/10
+ 4/35
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 10 and 35:
LCD = LCM(10, 35) = 70
Express the given fractions as equivalent fractions with respect to the LCD (70):
3/10
= 21/70
and 4/35
= 8/70
As a result, 3/10
+ 4/35
= 21/70
+ 8/70
Since the equivalent fractions have common denominators, we can add the numerators:
21/70
+ 8/70
= 21 + 8/70
= 29/70
29/70
is in Simplest Form since the Greatest Common Factor of 29 and 70 equals 1, GCF(29, 70) = 1Therefore, the Sum of 3/10
and 4/35
is equal to 29/70
in Simplest Form: 3/10
+ 4/35
= 29/70