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Simplify. Express your answer as a single fraction in simplest form. \newline22 -2w\frac{2}{w}

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline22 -2w\frac{2}{w}
  1. Identify expression: Identify the expression to be simplified.\newlineThe given expression is 22w2 - \frac{2}{w}. To combine these terms into a single fraction, we need a common denominator.
  2. Find common denominator: Find a common denominator.\newlineThe common denominator for the terms 22 and 2w-\frac{2}{w} is ww. We need to express the number 22 as a fraction with the denominator ww.
  3. Convert integer to fraction: Convert the integer to a fraction with the common denominator.\newlineTo convert the integer 22 to a fraction with the denominator ww, we multiply both the numerator and the denominator by ww: 2×(ww)=2ww2 \times (\frac{w}{w}) = \frac{2w}{w}.
  4. Rewrite with common denominator: Rewrite the expression with the common denominator.\newlineNow we rewrite the expression using the common denominator ww: 2ww\frac{2w}{w} - 2w\frac{2}{w}.
  5. Combine fractions: Combine the fractions.\newlineSince we now have a common denominator, we can combine the numerators: (2w2)/w(2w - 2)/w.
  6. Simplify expression: Simplify the expression, if possible.\newlineIn this case, there is no further simplification possible for the fraction (2w2)/w(2w - 2)/w because the numerator and the denominator do not have any common factors other than 11.

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