Question

# Which of the following rational numbers lie between 254 and 223?Integers Whole number Irrational number Non integers

Solution

## The correct option is B Whole number Rational numbers can be compared by making their denominators equal. We have the following fractions - 223,254,152,172,132 and the integer 8 which can be written as 81 LCM of 1, 2, 3 and 4, i.e., the denominators of the above fractions is 12. Converting all the fractions above into fractions with a common denominator, we get: 223=22×43×4=8812 254=25×34×3=7512 132=13×62×6=7812 152=15×62×6=9012 172=17×62×6=10212 8=81=8×121×12=9612 Arranging these fractions in an ascending order, we get 7512,7812,8812,9012,9612,10212 Thus, the number between 223 and 254 is 7812, i.e. 132

Suggest corrections