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Simplify. Express your answer as a single fraction in simplest form. \newline110xy+410xy\frac{1}{10xy} + \frac{4}{10xy}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline110xy+410xy\frac{1}{10xy} + \frac{4}{10xy}
  1. Identify common denominator: Identify the common denominator.\newlineSince both fractions have the same denominator, 10xy10xy, we can combine them directly.\newline110xy+410xy\frac{1}{10xy} + \frac{4}{10xy}
  2. Add numerators: Add the numerators. Combine the numerators while keeping the common denominator. (1+4)/10xy(1 + 4)/10xy
  3. Perform addition: Perform the addition.\newlineAdd the numerators.\newline510xy\frac{5}{10}xy
  4. Simplify fraction: Simplify the fraction.\newlineWe can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 55.\newline55/10xy5\frac{5}{5}/\frac{10xy}{5}
  5. Complete simplification: Complete the simplification. Divide the numerator and the denominator by 55. 12xy\frac{1}{2}xy

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