The algebraic expression for the statement "Product of $x$ and reciprocal of $a$ , subtracted from the product of $y$ and reciprocal of $b "$ is ___________.

\frac{y}{b} - \frac{x}{a}

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\frac{y - x}{a - b}

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x a - y b

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\frac{1}{y b - x a}

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Solution

The correct option is B $\frac{y}{b} - \frac{x}{a}$
Product of $x$ and reciprocal of $a$ $=$ $x \times \frac{1}{a} = \frac{x}{a}$
Product of $y$ and reciprocal of $b$ $=$ $y \times \frac{1}{b} = \frac{y}{b}$
Therefore, the algebraic expression is $\frac{y}{b} - \frac{x}{a}$ .
Hence, option A is correct.

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