Question

find 3 rational numbers between 1/3 and 1/2

Answer 1

To find rational numbers first take out the LCM of the two given denominators............ LCM of 2 and 3 is 6............................ Now multiply these two rational numbers with such a number so that their denominator becomes 6................... 1/3×2/2= 2/6............. 1/2×3/3= 3/6......... Since there are no rational numbers in between so do it further.............. 1/3×8/8= 8/24................ 1/2×12/12=12/24.............. Now three rational numbers between 1/3 and 1/2 are 9/24; 10/24 and 11/24..........