Find two rational numbers between 5/6 and 83 / 100. Explain how you know (without using decimals)

998/1200 and 997/1200

Step-by-step explanation:

It's hard to compare 5/6 and 83/100 in their current states. Let's find a common denominator. Take 600. We know that this will work because both 6 and 100 go into it. Multiplying 5 by 100 and 83 by 6 to find the common denominator, we can compare them at 498/600 and 500/600. However, there is only one number (499/600) between them. Thus, we will multiply each number by 2/2, which is 1. Our numbers are then 996/1200 and 1000/1200. Two numbers between them are then 997/1200 and 998/1200