Question

Divide the sum of 97/15 and 12/5 by their difference?

Answer 1

To divide the sum of two fractions by their difference, add the fractions, subtract the fractions, and divide the sum by the difference.

Step-by-step explanation:

To divide the sum of two fractions by their difference, follow these steps:

1. Add the two fractions together to get the sum.
2. Subtract the two fractions to get the difference.
3. Divide the sum by the difference.

Let's apply these steps to the given problem:

1. Add 97/15 and 12/5:
   97/15 + 12/5 = (97 * 5 + 12 * 15)/(15 * 5) = 485/75
2. Subtract 97/15 and 12/5:
   97/15 - 12/5 = (97 * 5 - 12 * 15)/(15 * 5) = (485 - 180)/75 = 305/75
3. Divide the sum by the difference:
   (485/75) ÷ (305/75) = (485/75) * (75/305) = 485/305 = 1.5902

Therefore, the division of the sum of 97/15 and 12/5 by their difference is approximately 1.5902.