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Simplify. Express your answer as a single fraction in simplest form. \newline2v8\frac{2}{v} - 8

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline2v8\frac{2}{v} - 8
  1. Identify Common Denominator: Identify the common denominator for the fractions in the expression.\newlineSince the first term is 2v\frac{2}{v} and the second term is 8-8 (which can be written as 81\frac{-8}{1}), the common denominator is vv.
  2. Rewrite with Common Denominator: Rewrite the expression with the common denominator.\newlineThe first term is already over vv, so it remains 2v\frac{2}{v}. The second term, 8-8, needs to be converted to have the denominator vv, which is 8vv-\frac{8v}{v}.
  3. Combine Terms: Combine the terms over the common denominator.\newlineNow that both terms have the same denominator, we can combine them into a single fraction:\newline(28v)/v(2 - 8v) / v
  4. Simplify Numerator: Simplify the numerator if possible.\newlineIn this case, the numerator 28v2 - 8v is already in its simplest form, so we cannot simplify it further.
  5. Check for Common Factors: Check for any common factors in the numerator and the denominator that can be canceled out.\newlineThere are no common factors between the numerator (28v)(2 - 8v) and the denominator (v)(v), so the fraction is already in its simplest form.

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