6/25:9/5

To solve this problem, we need to convert the fractions to have a common denominator.

The denominators of the fractions 6/25 and 9/5 are 25 and 5 respectively. To find the least common denominator (LCD), we need to find the least common multiple (LCM) of the two denominators.

The prime factorization of 25 is 5 * 5, and the prime factorization of 5 is 5. So the LCM of 25 and 5 is 5 * 5 = 25.

Now, let's convert the fractions to have a denominator of 25:

6/25 = (6 * 1)/(25 * 1) = 6/25 9/5 = (9 * 5)/(5 * 5) = 45/25

Now that the fractions have a common denominator of 25, we can add them:

6/25 + 9/5 = 6/25 + 45/25 = (6 + 45)/25 = 51/25

Therefore, 6/25 + 9/5 = 51/25.