Question

Estimate the quotient 24 3/7÷3 7/13

Answer 1

24 3/7 divided by 3 7/13
171/7 divided by 13/46
2223/322
=6.934782609
*round to whatever decimal place it says on your problem*

Answer 2

Round off the fractions!  3/7 rounds off (down) to 0 and 7/13 (being greater than 1/2) rounds up to 1.  Then we have (24 + 0) / (3+1) = 24/4 = 6.

Unfortunately, this is "quite far" from the actual quotient, 6.9037.

We could experiment:  Let 24 3/7 become 24 1/2 and 3 7/13 become 3 1/2.

(24 1/2) / (3 1/2) = (25/2) / (7/2) = 49/2 / (7/2) = 7 (which is "close" to the actual value, 6.9037.

Let's conclude that the estimation is between 6.9 and 7.0.