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 7 and 9:
LCD = LCM(7, 9) = 63
Express the given fractions as equivalent fractions with respect to the LCD (63):
Since the equivalent fractions have common denominators, we can add the numerators:
5/9
+ 4/14
, which equals 5/9
+ 2/7
(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 7 and 9:
LCD = LCM(7, 9) = 63
Express the given fractions as equivalent fractions with respect to the LCD (63):
5/9
= 35/63
and 2/7
= 18/63
As a result, 5/9
+ 2/7
= 35/63
+ 18/63
Since the equivalent fractions have common denominators, we can add the numerators:
35/63
+ 18/63
= 35 + 18/63
= 53/63
53/63
is in Simplest Form since the Greatest Common Factor of 53 and 63 equals 1, GCF(53, 63) = 1Therefore, the Sum of 5/9
and 4/14
is equal to 53/63
in Simplest Form: 5/9
+ 4/14
= 53/63