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Simplify. Express your answer as a single fraction in simplest form. \newline35−y\frac{3}{5} - y

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Full solution

Q. Simplify. Express your answer as a single fraction in simplest form. \newline35−y\frac{3}{5} - y
  1. Identify Given Expression: Identify the given expression and the operation to be performed.\newlineThe given expression is 35−y\frac{3}{5} - y. We need to express yy as a fraction with a common denominator to subtract it from 35\frac{3}{5}.
  2. Express yy as Fraction: Express yy as a fraction with the common denominator 55.\newlineSince yy can be written as y1\frac{y}{1}, we multiply both the numerator and the denominator by 55 to get the common denominator.\newliney×55=5y5\frac{y \times 5}{5} = \frac{5y}{5}
  3. Rewrite with Common Denominator: Rewrite the expression with the common denominator.\newlineNow we have 35−5y5\frac{3}{5} - \frac{5y}{5}. With the common denominator of 55, we can combine the numerators.
  4. Subtract Numerators: Subtract the numerators and write the result over the common denominator.\newline(3−5y)/5(3 - 5y)/5\newlineThis is the expression simplified as a single fraction.

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