a+b/2=-5/4+1/6/2=-15+2/12/2=-13/12x2=

-13/24

• gudmrning

To find the rational number between -5/4 and 1/6 that is equidistant from -5 and 4, we can use the midpoint formula.

The midpoint formula is:

Midpoint = (a + b) / 2

where a and b are the endpoints of the interval.

In this case, the endpoints are -5/4 and 1/6.

Midpoint = (-5/4 + 1/6) / 2

Midpoint = (-15/12 + 2/12) / 2

Midpoint = -13/24

Therefore, the rational number that is equidistant from -5 and 4 and lies between -5/4 and 1/6 is -13/24.