Question

Insert a fraction between $\frac{12}{5}$ and $\frac{5}{4}$ and then again insert a fraction between the obtained fraction and $\frac{9}{2}.$

• A. $\frac{11}{26}$
• B. $\frac{13}{28}$
• C. $\frac{26}{11}$
• D. $\frac{28}{13}$

Answer 1

The correct option is C $\frac{26}{11}$

The given fractions are $\frac{12}{5}$ and $\frac{5}{4}$.
So the fraction between$\frac{12}{5}$ and $\frac{5}{4}$
$=\frac{(12+5)}{(5+4)}$
$=\frac{17}{9}$

Now, the fraction between$\frac{17}{9}$ and $\frac{9}{2}$
$=\frac{(17+9)}{(9+2)}$
$=\frac{26}{11}$