Express 3 - [x - y/y] as a single fraction

Correct Answer is : 4y−xy4y - x/yy4y−x

Correct Answer is : 4y−xy4y - x/yy4y−x

Test Index

WAEC Mathematics 2012 Paper

Question : 23

Total: 49

Express 3 - [

\frac{x - y}{y}

] as a single fraction

Solution:

Concept:

To express a whole number minus a fraction as a single fraction, convert the whole number into an equivalent fraction with the same denominator.

Explanation:

Start with

3 - \frac{x - y}{y}

Write

3

\frac{3y}{y}

Subtract the fractions:

\frac{3y}{y} - \frac{x - y}{y} = \frac{3y - (x - y)}{y}

Simplify the numerator:

3y - x + y = 4y - x

So the single fraction is

\frac{4y - x}{y}

Answer:

\frac{4y - x}{y}

, which is option C.

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