Final answer:
To multiply two and four-fifths by negative five and two-thirds, we convert the mixed numbers to improper fractions, multiply the numerators and denominators, and simplify the fraction if needed. The result is -238/15.
Step-by-step explanation:
To multiply two and four-fifths by negative five and two-thirds, we can follow these steps:
- Convert the mixed numbers to improper fractions. Two and four-fifths becomes 14/5 and negative five and two-thirds becomes -17/3.
- Multiply the numerators together to get -238 and multiply the denominators together to get 15.
- Reduce the fraction if necessary. In this case, it is already in the simplest form.
So, the answer is:
-238/15