Algebra Practice Test 2025 – 400 Free Practice Questions to Pass the Exam

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Question: 1 / 400

What is the simplified form of the expression (1/(X+Y))/(A/B)?

B/(A(X+Y))

To simplify the expression (1/(X+Y))/(A/B), you start by recognizing that dividing by a fraction is equivalent to multiplying by its reciprocal. Thus, the expression can be rewritten as:

1/(X + Y) * (B/A)

This allows us to combine the terms:

= (B)/(A(X + Y))

Now, this matches the chosen answer. This step is crucial because it illustrates the fundamental operation of fractions. By flipping A/B to B/A, you are correctly applying the division operation to gain the desired format suitable for multiplication with other terms.

Knowing this simplification method is integral when working with fractions in algebra, as it allows for combining and manipulating expressions efficiently. The other options either do not account for the necessary multiplication by the reciprocal or misapply the operations involved, leading to incorrect simplifications.

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A/(B(X+Y))

A/(X+Y)

B/(X+Y)

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