The fraction ( p+q)/q equalsa)pb)p/q +qc)p/q +1d)p/q +pCorrect answer ...
The fraction ( p+q)/q = p/q + q/q
i.e, p/q + 1
So option C is the correct answer.
The fraction ( p+q)/q equalsa)pb)p/q +qc)p/q +1d)p/q +pCorrect answer ...
The given fraction is (p/q)/q. To simplify this fraction, we need to follow the rules of fraction division.
Step 1: Dividing a fraction by a fraction
When we divide one fraction by another, we multiply the first fraction by the reciprocal of the second fraction. The reciprocal of a fraction is obtained by swapping the numerator and denominator.
Step 2: Finding the reciprocal of q
The reciprocal of q is 1/q, obtained by swapping the numerator and denominator.
Step 3: Multiplying (p/q) by (1/q)
To multiply fractions, we multiply the numerators together and the denominators together. So, (p/q) multiplied by (1/q) is equal to (p * 1)/(q * q).
Step 4: Simplifying the fraction
In the numerator, p multiplied by 1 is simply p. In the denominator, q multiplied by q is q^2. Therefore, the fraction (p/q) divided by q simplifies to p/q^2.
Hence, the correct answer is option 'C': (p/q)/q simplifies to p/q^2.