Question

Prove that if a/b = p/q,then a/p=b/q

Answer 1

a/b = p/q

Cross multiplication

aq = bp

a/p = b/q

Answer 2

If a/b = p/q,then a/p=b/q is true.

Given:

a/b = p/q

To Prove:

if a/b = p/q,then a/p=b/q

Solution:

We are required to prove a/p=b/q if a/b = p/q.

a/b = p/q --------(1)

• Here, LHS and RHS are in the division so the denominator of LHS is taken to the numerator of RHS.

• The numerator of RHS is taken to the denominator of LHS.

• We have to swap places of b and q in equation(1), and we get

⇒ a/p = b/q

Hence proved.

Therefore, If a/b = p/q,then a/p=b/q is true.

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