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Simplify. Express your answer as a single fraction in simplest form. \newline7x5y5+9\frac{7x^5y}{5} + 9

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Q. Simplify. Express your answer as a single fraction in simplest form. \newline7x5y5+9\frac{7x^5y}{5} + 9
  1. Find Common Denominator: Identify the common denominator for the fractions.\newlineSince 99 can be written as a fraction with a denominator of 11, we can rewrite it with a common denominator of 55 to combine it with the fraction 7x5y5\frac{7x^5y}{5}.
  2. Convert Whole Number to Fraction: Convert the whole number to a fraction with the common denominator.\newlineWe can express 99 as 91\frac{9}{1} and then multiply both the numerator and the denominator by 55 to get the common denominator of 55.\newline9×(55)=9×55=4559 \times \left(\frac{5}{5}\right) = \frac{9\times5}{5} = \frac{45}{5}
  3. Combine Fractions: Combine the fractions over the common denominator.\newlineNow we can add the two fractions since they have the same denominator.\newline(7x5y/5)+(45/5)=(7x5y+45)/5(7x^5y/5) + (45/5) = (7x^5y + 45)/5
  4. Check for Simplification: Check if the resulting fraction can be simplified further. The numerator 7x5y+457x^5y + 45 does not have any common factors with the denominator 55, so the fraction is already in its simplest form.

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