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Solve for kk.\newlinek−83=3k - \frac{8}{3} = 3\newlinek=k = _____

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Full solution

Q. Solve for kk.\newlinek−83=3k - \frac{8}{3} = 3\newlinek=k = _____
  1. Isolate kk by adding 83\frac{8}{3}: Add 83\frac{8}{3} to both sides of the equation to isolate kk.\newlinek−83+83=3+83k - \frac{8}{3} + \frac{8}{3} = 3 + \frac{8}{3}\newlinek=3+83k = 3 + \frac{8}{3}
  2. Convert whole number to fraction: Convert the whole number 33 to a fraction with the same denominator as 83\frac{8}{3} to combine the terms.\newline3=3×(33)=933 = 3 \times \left(\frac{3}{3}\right) = \frac{9}{3}\newlinek=93+83k = \frac{9}{3} + \frac{8}{3}
  3. Add fractions to find kk: Add the fractions 93\frac{9}{3} and 83\frac{8}{3}.
    k=93+83k = \frac{9}{3} + \frac{8}{3}
    k=9+83k = \frac{9 + 8}{3}
    k=173k = \frac{17}{3}

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