Question

The three rational numbers inserted between $\frac{4}{7}$ and $\frac{7}{12}$ are :

• A. $\frac{11}{19}$ , $\frac{18}{31}$ and $\frac{29}{40}$
• B. $\frac{18}{31}$ , $\frac{11}{19}$ and $\frac{198}{581}$
• C. $\frac{11}{19}$, $\frac{18}{31}$ and $\frac{15}{26}$
• D. None of these

Answer 1

The correct option is C

$\frac{11}{19}$, $\frac{18}{31}$ and $\frac{15}{26}$

If we insert three rational numbers between $\frac{4}{7}$ and $\frac{7}{12}$ we get :

First number = $\frac{4+7}{7+12}$ = $\frac{11}{19}$

Second number = $\frac{4+11}{7+19}$ = $\frac{15}{26}$

Third number = $\frac{11+7}{19+12}$ = $\frac{18}{31}$