There are 2 mixed numbers in 1 2/3 * 1 7/10. One is 1 2/3; the other is 1 7/10.
Convert both to improper fractions: 1 2/3 becomes 5/2, and 1 7/10 becomes 17/10.
5 17
Then your task is to multiply ---- * ----- , which, after reducing 5/10, becomes
2 10
17/4 (answer)