We are asked to evaluate a series of operations that include mixed numbers.
In roder to facilitate the operations, we are starting by converting the mixed numbers into improper fractions, since we have clear rules for operating with fractions.
the number: - 2 3/5 can be written as: -10/5 - 3/5 = -13/5
the number -1 4/5 can be written as - (5/5 + 4/5) = - 9/5
so now we have the folloowing operation among fractions:
- 13/5 x 2/3 - 9/5
The first product is that of a negative number times a positive number, which renders a NEGATIVE number:
- 13/5 x 2/3 = -26/15
Now we need to subtract 9/5 from it;
- 26/15 - 9/5 = -26/15 - 27/15
where we have converted 9/5 into an equivalent fraction with the same denominator as the first one, to be able to combine:
- 26/15 - 27/15 = - 53/15
Now we need probably to answer in MIXED number form, so we proceed to convert this improper fraction into a mixed number:
- 53/15 = - (45/15 + 8/15) = - (3 8/15) = - 3 8/15