Final answer:
The difference between 2 2/3 and 1 1/4 is found by converting them to improper fractions with a common denominator, subtracting them, and simplifying the result, which is 1 5/12.
Step-by-step explanation:
To find the difference between 2 2/3 and 1 1/4, you first need to convert these mixed numbers into improper fractions. For 2 2/3, the improper fraction is 8/3, because 2 times 3 is 6, and adding the numerator 2 gives us 8. For 1 1/4, the improper fraction is 5/4, because 1 times 4 is 4, plus the numerator 1 gives us 5.
Next, you need to have a common denominator in order to subtract the fractions. The common denominator for 3 and 4 is 12. So, 8/3 becomes 32/12 (since 8 times 4 equals 32) and 5/4 becomes 15/12 (since 5 times 3 equals 15).
Now you can subtract the second fraction from the first: 32/12 minus 15/12 equals 17/12. As an improper fraction, the difference is 17/12, which can also be written as a mixed number: 1 5/12. So, the difference between 2 2/3 and 1 1/4 is 1 5/12.