(5 8/15-4 7/10)·2 2/3-5/9

Compute step by step:

• 5 8/15 = 83/15; 4 7/10 = 47/10
• 83/15 − 47/10 = 166/30 − 141/30 = 25/30 = 5/6
• 2 2/3 = 8/3

So (5 8/15 − 4 7/10) · (2 2/3) = (5/6)·(8/3) = 40/18 = 20/9 = 2 2/9

Then 20/9 − 5/9 = 15/9 = 5/3 = 1 2/3

Final answer: 1 2/3 (or 5/3).