Question

The fraction equivalent to $\dfrac{2}{7}$is:
A.$\dfrac{{14}}{{17}}$
B.$\dfrac{4}{{14}}$
C.$1$
D.$\dfrac{4}{{28}}$

Answer 1

Hint: Check each option and eliminate the common numbers in both numerator and denominator. The fraction after elimination of the common number from both numerator and denominator should be equivalent to $\dfrac{2}{7}$.

Complete step-by-step answer:
Consider option (A) $\dfrac{{14}}{{17}}$, which don’t have any common numbers in both numerator and denominator. So, option (A) is incorrect.
Consider option (B) $\dfrac{4}{{14}}$, which has the common number 2 in both numerator and denominator.
So,
$
   \Rightarrow \dfrac{4}{{14}} \\
   \Rightarrow \dfrac{{2 \times 2}}{{7 \times 2}} \\
   \Rightarrow \dfrac{2}{7} \\
 $
So, option (B) is correct.

Note: Find the common numbers from both numerator and denominator which gets cancelled, and converted into a simplified fraction.