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Simplify. Express your answer as a single fraction in simplest form. \newline45+c\frac{4}{5} + c

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline45+c\frac{4}{5} + c
  1. Identify Terms: Identify the terms in the expression that need to be combined into a single fraction.\newlineWe have the expression 45+c\frac{4}{5} + c. To combine these into a single fraction, we need to express cc as a fraction with a common denominator of 55.
  2. Express cc as Fraction: Express cc as a fraction with the denominator 55. We can write cc as c1\frac{c}{1}, and to get the common denominator of 55, we multiply both the numerator and the denominator by 55. This gives us c×51×5\frac{c \times 5}{1 \times 5} which simplifies to 5c5\frac{5c}{5}.
  3. Combine Fractions: Combine the two fractions with the common denominator.\newlineNow we have 45+5c5\frac{4}{5} + \frac{5c}{5}. Since they have the same denominator, we can add the numerators together while keeping the denominator the same.\newlineThis gives us (4+5c)5\frac{(4 + 5c)}{5}.
  4. Check for Simplification: Check if the resulting fraction can be simplified further.\newlineThe fraction (4+5c)/5(4 + 5c)/5 is already in its simplest form because 4+5c4 + 5c cannot be factored any further to cancel out with the denominator 55.

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