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Simplify. Express your answer as a single fraction in simplest form. \newline7bc554b\frac{7bc^5}{5} - 4b

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline7bc554b\frac{7bc^5}{5} - 4b
  1. Identify common denominator: Identify the common denominator for the fractions.\newlineSince 4b4b is not a fraction, we can write it as 4b1\frac{4b}{1} to work with it as a fraction.\newlineNow we have 7bc554b1\frac{7bc^5}{5} - \frac{4b}{1}.\newlineThe common denominator between 55 and 11 is 55.
  2. Rewrite with common denominator: Rewrite 4b1\frac{4b}{1} with the common denominator 55. To do this, we multiply both the numerator and the denominator of 4b1\frac{4b}{1} by 55. 4b1×55=20b5\frac{4b}{1} \times \frac{5}{5} = \frac{20b}{5} Now we have 7bc5520b5\frac{7bc^5}{5} - \frac{20b}{5}.
  3. Combine fractions: Combine the fractions over the common denominator.\newlineNow that both fractions have the same denominator, we can combine them.\newline(7bc520b)/5(7bc^5 - 20b)/5
  4. Check for simplification: Check if the numerator can be simplified further.\newlineIn the numerator 7bc520b7bc^5 - 20b, we can factor out a bb.\newlineb(7c520)b(7c^5 - 20)\newlineThe fraction now is b(7c520)5\frac{b(7c^5 - 20)}{5}.
  5. Check for common factors: Check for any common factors between the numerator and the denominator that can be simplified.\newlineThere are no common factors between b(7c520)b(7c^5 - 20) and 55, so the fraction is already in its simplest form.

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