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Simplify. Express your answer as a single fraction in simplest form. \newline32+10v\frac{3}{2} + 10v

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline32+10v\frac{3}{2} + 10v
  1. Identify Terms: Identify the terms in the expression that need to be combined into a single fraction.\newlineThe expression given is 32+10v\frac{3}{2} + 10v. We have a fraction 32\frac{3}{2} and a whole number term 10v10v. To combine these into a single fraction, we need to find a common denominator.
  2. Find Common Denominator: Find a common denominator for the terms.\newlineSince 32\frac{3}{2} is already a fraction, we can use 22 as the common denominator. To express 10v10v as a fraction with the denominator 22, we multiply 10v10v by 22\frac{2}{2} to get (10v×2)/2(10v \times 2)/2.
  3. Combine Fractions: Combine the fractions over the common denominator.\newlineNow we have 32+(10v×2)2\frac{3}{2} + \frac{(10v \times 2)}{2}. We can combine these fractions since they have the same denominator.\newline3+(10v×2)2\frac{3 + (10v \times 2)}{2}
  4. Perform Multiplication: Perform the multiplication in the numerator.\newlineNow we need to multiply 10v10v by 22 in the numerator.\newline(3+20v)/2(3 + 20v)/2
  5. Check for Simplification: Check if the fraction can be simplified further.\newlineThe fraction (3+20v)/2(3 + 20v)/2 is already in simplest form because the numerator and the denominator do not have any common factors other than 11.

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