Answer:
The correct equation that is true is D.
Step by step solved
To multiply mixed numbers, it's usually helpful to convert them to improper fractions first. So we have:
2 2/3 × 4 3/5 = (8/3) × (23/5)
Then we can multiply the numerators and denominators separately:
(8/3) × (23/5) = (8 × 23)/(3 × 5) = 184/15
Finally, we can convert the improper fraction back to a mixed number:
184/15 = 12 4/15
Therefore, the equation 2 2/3 × 4 3/5 = 8 6/15 is not true, but the equation 2 2/3 × 4 3/5 = 8 4/15 is true.