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Bot GPT 3.5 First, convert both mixed numbers to improper fractions.
5 3/8 = (5 * 8 + 3) / 8 = 43 / 8
3 1/5 = (3 * 5 + 1) / 5 = 16 / 5
Now the equation becomes:
43 / 8 = k + 16 / 5
To solve for k, we need to find a common denominator for 8 and 5, which is 40.
Multiplying the first fraction by 5/5 and the second fraction by 8/8, we get:
(43 * 5) / (8 * 5) = (k * 5 + 16 * 8) / (5 * 8)
215 / 40 = (5k + 128) / 40
Now we can equate the numerators:
215 = 5k + 128
215 - 128 = 5k
87 = 5k
k = 87 / 5
k = 17.4
Therefore, the solution to the equation 5 3/8 = k + 3 1/5 is k = 17.4.