Question

Identify the term that will replace the ?

$\frac{4}{9},\frac{9}{20},?\frac{39}{86}$

• A. $\frac{17}{40}$
• B. $\frac{19}{42}$
• C. $\frac{20}{45}$
• D. $\frac{29}{53}$

Answer 1

Answer: (B)

$\frac{19}{42}$

The sequence in the numerators is $+5,+10,+20,..$ and that in the denominators is $+11,+22,+44,..$
So,the numerator of the missing fraction should be $(9+10)i.e.19$ and the denominator should be $(20+22)i.e.42$.
Thus, the missing term is $\frac{19}{42}$
Hence,option B is the correct answer.