Final answer:
To find the largest and smallest rational numbers among the given options, convert them to a common denominator and compare. The largest rational number is -28/60, and the smallest rational number is -105/60.
Step-by-step explanation:
To find the largest and smallest rational numbers among the given options, you need to convert them all to a common denominator. In this case, the common denominator is 60.
Converting the three options to their equivalent fractions with a denominator of 60, we get:
- -4/7 = -34/60
- -7/15 = -28/60
- -7/4 = -105/60
The largest rational number is -28/60, and the smallest rational number is -105/60.