Question

On dividing $57p^{2}qr$ by $114pq$, we get-

• A. $\frac{1}{4}pr$
• B. $\frac{3}{4}pr$
• C. $\frac{1}{2}pr$
• D. $2pr$

Answer 1

The correct option is C

$\frac{1}{2}pr$

Let's write $57p^{2}qr$ and $114pq$ in expanded form :

$$\begin{gathered} 57p^{2}qr=57\times p\times p\times q\times r \\ 114pq=114\times p\times q \end{gathered}$$

Dividing $57p^{2}qr$ by $114pq$ -

$$\begin{gathered} \frac{57p^{2}qr}{114pq}=\frac{57\times p\times p\times q\times r}{114\times p\times q} \\ =\frac{1}{2}pr\text{(Cancelling common factors)} \end{gathered}$$

Hence, the correct option is $\frac{1}{2}pr$.