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Work out 
(5k)/(2)-(k+1)/(3)
Give your answer as a single fraction in its simplest form.

Work out 5k2k+13 \frac{5 k}{2}-\frac{k+1}{3} \newlineGive your answer as a single fraction in its simplest form.

Full solution

Q. Work out 5k2k+13 \frac{5 k}{2}-\frac{k+1}{3} \newlineGive your answer as a single fraction in its simplest form.
  1. Combine Numerators: Now that we have a common denominator, combine the numerators. \newline(15k(2k+2))/6(15k - (2k + 2))/6
  2. Distribute Negative Sign: Distribute the negative sign through the parentheses in the numerator. \newline15k2k2=13k215k - 2k - 2 = 13k - 2
  3. Write Combined Fraction: Write the combined numerator over the common denominator. 13k26\frac{13k - 2}{6}
  4. Check for Common Factors: Check if the numerator and denominator have any common factors that can be simplified.\newlineThe numerator 13k213k - 2 and the denominator 66 do not have any common factors other than 11.

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