Answer :

To calculate the estimated difference between the mixed numbers 12 9/11 and 8 13/15, convert them to improper fractions, find a common denominator, subtract, and convert back to a mixed number. The difference is approximately 3 157/165.

To find the estimated difference between 12 9/11 and 8 13/15, we first convert these mixed numbers to improper fractions. Then, find a common denominator and subtract the two fractions.

For 12 9/11, the improper fraction is: (12 x 11) + 9 = 132 + 9 = 141; so it is 141/11.

For 8 13/15, the improper fraction is: (8 x 15) + 13 = 120 + 13 = 133; so it is 133/15.

To subtract, find a common denominator, which is 165 here. Convert the fractions:
141/11 becomes 2115/165 and 133/15 becomes 1463/165. Now subtract the second from the first: 2115 - 1463 = 652, so the difference is 652/165.

Finally, convert the improper fraction back to a mixed number: 652 / 165 = 3 with a remainder of 157, so 157/165. The estimated difference is 3 157/165.

Answer:

the estimated difference is 4

Step-by-step explanation:

The estimated difference of 12 9/11 - 8 13/15 would be rounding the fractions to a whole number

12 9/11 becomes 12 11/11 which is 13

8 13/15 becomes 8 15/15 which is 9

we rounded each fraction up since each fraction was above the half way mark so the new equation is,

13 - 9 = 4