Correct Answer - Option 4 :
\(\dfrac{7}{10}\)
Given:
\(\dfrac{3}{8},\dfrac{4}{5},\dfrac{31}{40},\dfrac{9}{20},\dfrac{7}{10}\)
Range = \(\left(\dfrac{1}{2} \right)\) to \(\left(\dfrac{3}{4}\right)\)
Calculations:
Taking the LCM of denominators of all the term,
LCM of (8, 5, 40, 20, 10, 4, 2) = 40
Fractions with 40 as denominators are,
\(\dfrac{15}{40},\dfrac{32}{40},\dfrac{31}{40},\dfrac{18}{40},\dfrac{28}{40}\)
Range with 40 as denominators are,
\(\dfrac{20}{40} \) to \(\dfrac{30}{40} \)
The fraction that lies within the range is \(\dfrac{28}{40} \)
∴ The fraction that lies within the given range is \(\dfrac{7}{10}\)