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Simplify. Express your answer as a single fraction in simplest form. \newline4a8\frac{4}{a} - 8

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline4a8\frac{4}{a} - 8
  1. Identify Expression: Identify the expression to be simplified.\newlineWe have the expression 4a8\frac{4}{a} - 8. To simplify this expression and write it as a single fraction, we need to find a common denominator.
  2. Find Common Denominator: Find a common denominator.\newlineSince aa is the only denominator present in the first term and the second term is a whole number, we can rewrite the whole number with aa as the denominator. To do this, we multiply 88 by a/aa/a which is equal to 11 and will not change the value of the expression.\newline4a8×(aa)\frac{4}{a} - 8 \times \left(\frac{a}{a}\right)
  3. Rewrite with Common Denominator: Rewrite the expression with a common denominator.\newlineNow we rewrite the expression with the common denominator aa.\newline4a8aa\frac{4}{a} - \frac{8a}{a}
  4. Combine Terms: Combine the terms over the common denominator.\newlineSince both terms now have the same denominator, we can combine them into a single fraction.\newline(48a)/a(4 - 8a)/a
  5. Check for Further Simplification: Check if the fraction can be simplified further. The numerator 48a4 - 8a and the denominator aa do not have any common factors other than 11, so the fraction is already in its simplest form.

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