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 10:
LCD = LCM(3, 10) = 30
Express the given fractions as equivalent fractions with respect to the LCD (30):
Since the equivalent fractions have common denominators, we can add the numerators:
3/10
+ 2/6
, which equals 3/10
+ 1/3
(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 3 and 10:
LCD = LCM(3, 10) = 30
Express the given fractions as equivalent fractions with respect to the LCD (30):
3/10
= 9/30
and 1/3
= 10/30
As a result, 3/10
+ 1/3
= 9/30
+ 10/30
Since the equivalent fractions have common denominators, we can add the numerators:
9/30
+ 10/30
= 9 + 10/30
= 19/30
19/30
is in Simplest Form since the Greatest Common Factor of 19 and 30 equals 1, GCF(19, 30) = 1Therefore, the Sum of 3/10
and 2/6
is equal to 19/30
in Simplest Form: 3/10
+ 2/6
= 19/30