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 1 and 5:
LCD = LCM(1, 5) = 5
Express the given fractions as equivalent fractions with respect to the LCD (5):
Since the equivalent fractions have common denominators, we can add the numerators:
2/1
+ 2/5
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 1 and 5:
LCD = LCM(1, 5) = 5
Express the given fractions as equivalent fractions with respect to the LCD (5):
2/1
= 10/5
and 2/5
= 2/5
As a result, 2/1
+ 2/5
= 10/5
+ 2/5
Since the equivalent fractions have common denominators, we can add the numerators:
10/5
+ 2/5
= 10 + 2/5
= 12/5
12/5
is in Simplest Form since the Greatest Common Factor of 5 and 12 equals 1, GCF(5, 12) = 1Therefore, the Sum of 2/1
and 2/5
is equal to 12/5
in Simplest Form: 2/1
+ 2/5
= 12/5
Note: 12/5
is an improper fraction, and as a mixed number, 12/5
= 22/5