Question

rational number equivalent to 3/17 is a) 6/17 b)6/34 c) 17/3 d) 3/34​

Answer 1

Answer:

3/17*2/2=6/34

hence answer b is correct

Answer 2

6/34 (Option B) is the correct answer.

The problem can be solved using the concepts of fractional operations.

• The given fraction is 3/17.
• Any number which can be defined in the form of (p/q), (where p,q are integers and q is not equal to 0) can be defined as a fractional number.
• Consider a fraction$\frac{p}{q}$, The fraction p/q can also be written as follows,

=>$\frac{p}{q} = \frac{2*p}{2*q} = \frac{3*p}{3*q} = \frac{2*n}{3*n}$.  

• Numerically a fraction has the same value when it is multiplied by the same number with the numerator and the denomiator as shown above.

• $\frac{3}{17}$ is also numerically equal to$\frac{3*2}{17*2}$ (Multiplying both the numerator and denominator with 2).

=> 3/17 is numerically equal to$\frac{6}{34}$.

Therefore, 6/34 (Option B ) is the correct answer.