A fraction with a denominator of 4 that is less than 7/12 miles is 1/4.Let the fraction be x/4. Since this fraction must be less than 7/12 miles, we can write the inequality, x/4 < 7/12.We now solve the inequality for x to obtain, x<7/12(4).
This simplifies to x<7/3
This implies that x<2 1/3
This is distance so x is positive.
So we can choose x=1 or x=2.
Therefore the possible fractions include 1/4 or 2/4.
In the simplest form, the most appropriate fraction is 1/4
