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Simplify. Express your answer as a single fraction in simplest form. \newline110x−y10x\frac{1}{10x} - \frac{y}{10x}

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline110x−y10x\frac{1}{10x} - \frac{y}{10x}
  1. Identify common denominator: Identify the common denominator.\newlineThe common denominator for the fractions 110x\frac{1}{10x} and y10x\frac{y}{10x} is 10x10x.
  2. Combine fractions: Combine the fractions.\newlineSince the fractions already have a common denominator, we can combine them by subtracting the numerators.\newline110x−y10x=1−y10x\frac{1}{10x} - \frac{y}{10x} = \frac{1 - y}{10x}
  3. Check for simplification: Check if the fraction can be simplified further.\newlineThe fraction (1−y)/10x(1 - y)/10x is already in its simplest form because the numerator and the denominator do not have any common factors other than 11.

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