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 8 and 9:
LCD = LCM(8, 9) = 72
Express the given fractions as equivalent fractions with respect to the LCD (72):
Since the equivalent fractions have common denominators, we can add the numerators:
5/8
+ 8/36
, which equals 5/8
+ 2/9
(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 8 and 9:
LCD = LCM(8, 9) = 72
Express the given fractions as equivalent fractions with respect to the LCD (72):
5/8
= 45/72
and 2/9
= 16/72
As a result, 5/8
+ 2/9
= 45/72
+ 16/72
Since the equivalent fractions have common denominators, we can add the numerators:
45/72
+ 16/72
= 45 + 16/72
= 61/72
61/72
is in Simplest Form since the Greatest Common Factor of 61 and 72 equals 1, GCF(61, 72) = 1Therefore, the Sum of 5/8
and 8/36
is equal to 61/72
in Simplest Form: 5/8
+ 8/36
= 61/72