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Simplify. Express your answer as a single fraction in simplest form. \newline6c5+bc5\frac{6c}{5} + \frac{bc}{5}

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Add and subtract rational expressionsright chevron icon

Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline6c5+bc5\frac{6c}{5} + \frac{bc}{5}
  1. Identify Denominator: Identify that both terms have the same denominator, which is 55. This means we can combine the numerators directly without finding a least common multiple (LCM).
  2. Add Numerators: Add the numerators together while keeping the common denominator. This gives us (6c+bc)/5(6c + bc)/5.
  3. Factor Out Common Factor: Factor out the common factor 'cc' from the numerator. This gives us c(6+b)/5c(6 + b)/5.
  4. Check for Simplification: Check if the expression can be simplified further. Since there are no common factors between the numerator and the denominator, the expression is already in its simplest form.

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