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Explain Bot To compute the sum of fractions, you need to have the same denominators. In this case, the denominators are 5 and 17, which are different.
To find a common denominator, you need to find the least common multiple (LCM) of 5 and 17.
The prime factorization of 5 is simply 5, and the prime factorization of 17 is also 17.
Since these numbers have no common factors other than 1, the LCM of 5 and 17 is 5 * 17 = 85.
Now, we can write both fractions with a denominator of 85:
3/5 = (3 * 17) / (5 * 17) = 51/85
3/17 = (3 * 5) / (17 * 5) = 15/85
So, 3/5 + 3/17 can be written as 51/85 + 15/85.
Next, we can add the fractions with the same denominators:
51/85 + 15/85 = (51 + 15) / 85 = 66/85
Therefore, 3/5 + 3/17 is equal to 66/85.