Question

If A/B and C/D are rational expressions, then which of the following is true?

Answer 1

Option D.
`(A)/(B)*(C)/(D)=(A*C)/(B*D)`

Explanation:

we have

`(A)/(B)` and
`(C)/(D)`

we know that

To multiply fractions multiply the numerators of the fractions to get the new numerator and multiply the denominators of the fractions to get the new denominator

To divide two fractions, multiply the first fraction by the reciprocal of the second fraction

`((A)/(B))/((C)/(D))=(A)/(B)*(D)/(C)`

and

`(A)/(B)*(C)/(D)=(A*C)/(B*D)`