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Simplify. Express your answer as a single fraction in simplest form. \newlines53+16t\frac{s^5}{3} + \frac{1}{6t}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newlines53+16t\frac{s^5}{3} + \frac{1}{6t}
  1. Find LCM: Find the least common multiple (LCM) of the denominators 33 and 6t6t. Since 6t6t is a multiple of 33, the LCM is 6t6t.
  2. Make denominators same: Make the denominators the same by multiplying the first fraction by 2t2t and the second fraction by 11. This gives us (2ts5)/6t+(1)/6t(2ts^5)/6t + (1)/6t.
  3. Simplify expression: Simplify the expression by adding the numerators since the denominators are the same. The final simplified expression is (2ts5+1)/6t(2ts^5 + 1)/6t.

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