Final answer:
The difference between -2 2/3 and -3/8 is found by converting both to fractions with a common denominator and subtracting, which results in -55/24.
Step-by-step explanation:
To find the difference between the numbers -2 2/3 (which is the same as -8/3 when converted into an improper fraction) and -3/8, we need to perform subtraction by bringing the two fractions onto a common denominator and then subtracting the numerators while keeping the denominator the same. The common denominator for 8 and 3 is 24. Therefore, we convert -8/3 to -64/24 and -3/8 to -9/24.
Now, we proceed with the subtraction:
- -64/24 - (-9/24) = (-64 + 9)/24
- = -55/24
This fraction can't be simplified further. Thus, the difference between -2 2/3 and -3/8 is -55/24.