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 9:
LCD = LCM(5, 9) = 45
Express the given fractions as equivalent fractions with respect to the LCD (45):
Since the equivalent fractions have common denominators, we can add the numerators:
4/9
+ 3/15
, which equals 4/9
+ 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 9:
LCD = LCM(5, 9) = 45
Express the given fractions as equivalent fractions with respect to the LCD (45):
4/9
= 20/45
and 1/5
= 9/45
As a result, 4/9
+ 1/5
= 20/45
+ 9/45
Since the equivalent fractions have common denominators, we can add the numerators:
20/45
+ 9/45
= 20 + 9/45
= 29/45
29/45
is in Simplest Form since the Greatest Common Factor of 29 and 45 equals 1, GCF(29, 45) = 1Therefore, the Sum of 4/9
and 3/15
is equal to 29/45
in Simplest Form: 4/9
+ 3/15
= 29/45