Question

find a rational number lying between 1/4 and 1/3

Answer 1

The common denominator between the two fraction is 12. So, you change the denominator of each fraction into 12. 1/3 would then be 4/12 and 1/4 would be 3/12. This would then sum up to 7/12. It is obvious that 7 cannot be divided by 2 thus we multiply the fraction by 2 (numerator and denominator) becoming: 14/24. Now we can divide 14 by 2 to become 7. So, the answer is 7/24