Which of the following is an algebraic fraction?

\frac{y - 2}{y - 2}

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\frac{y - 2}{1}

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\frac{1}{y - 2}

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None of the above

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Solution

The correct option is B $\frac{1}{y - 2}$
An algebraic fraction is a fraction whose numerator and denominator are algebraic expressions.
Option (A) $= \frac{y - 2}{y - 2} = 1$ . It is an integer.
Option (B) $= \frac{y - 2}{1} = y - 2$ is an integral expression, not a fraction.
The best option is $\frac{1}{y - 2}$

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\frac{5}{x - 1} + \frac{1}{y - 2} = 2

\frac{6}{x - 1} - \frac{3}{y - 2} = 1

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