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Perform the operation and express your answer as a single fraction in simplest form. 1+(x)/(y) Answer:

Perform the operation and express your answer as a single fraction in simplest form.\newline1+xy 1+\frac{x}{y} \newlineAnswer:

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Full solution

Q. Perform the operation and express your answer as a single fraction in simplest form.\newline1+xy 1+\frac{x}{y} \newlineAnswer:
  1. Identify Components: Identify the expression components.\newlineWe have the number 11 and the fraction (x/y)(x/y). To combine these, we need to have a common denominator.
  2. Find Common Denominator: Find a common denominator.\newlineThe number 11 can be expressed as a fraction with any denominator by multiplying it by that denominator over itself. In this case, we can use yy as the common denominator, so we express 11 as (y/y)(y/y).
  3. Rewrite with Common Denominator: Rewrite the expression with a common denominator.\newlineNow we have (yy)+(xy)(\frac{y}{y}) + (\frac{x}{y}). Since the denominators are the same, we can combine the numerators.
  4. Add Numerators: Add the numerators.\newlineThe new numerator will be y+xy + x, so the combined fraction is (y+x)/y(y + x)/y.
  5. Simplify Expression: Simplify the expression if possible.\newlineIn this case, the expression (y+x)/y(y + x)/y is already in its simplest form because xx and yy are variables and we do not know their values to simplify further.

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