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Find the sum, and write it in lowest terms. (30)/(49)+(1)/(7)

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Final answer:

To find the sum of (30)/(49) + (1)/(7) and express it in lowest terms, rewrite the fractions with a common denominator of 49. Add the numerators together to get 37/49, which is already in lowest terms.

Step-by-step explanation:

To find the sum of (30)/(49) + (1)/(7) and express it in lowest terms, we need to find a common denominator. The least common multiple of 49 and 7 is 49, so we can rewrite the fractions with the denominator of 49:

(30)/(49) + (1)/(7) = (30)/(49) + (7)/(49)

Now we can add the numerators together:

(30 + 7)/(49) = 37/49

Therefore, the sum is 37/49 and it is already in lowest terms.