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Simplify. Express your answer as a single fraction in simplest form. \newlinebc3+3\frac{bc}{3} + 3

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newlinebc3+3\frac{bc}{3} + 3
  1. Identify common denominator: Identify the common denominator for the fractions.\newlineSince 33 is a denominator for the first term and can be considered as the denominator for the second term (since 33 can be written as 3/13/1), the common denominator is 33.
  2. Express whole number as fraction: Express the whole number 33 as a fraction with the common denominator.\newlineTo do this, multiply 33 by 33\frac{3}{3} to get 93\frac{9}{3}.
  3. Combine fractions over denominator: Combine the two fractions over the common denominator.\newlineNow we have bc3+93\frac{bc}{3} + \frac{9}{3}, which can be combined as bc+93\frac{bc + 9}{3}.
  4. Check for simplification: Check if the numerator can be simplified.\newlineThe numerator bc+9bc + 9 does not have common factors with the denominator 33, so it cannot be simplified further.

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