Verified Answer :

3/5 9 1/2

1st way. Distributive property of multiplication.

3/5
9 = 39 / 51 = 27/5
3/5 1/2 = 31 / 52 = 3/10

Add the products:
27/5 + 3/10 = (27/5
2/2) + 3/10 = 54/10 + 3/10 = 57/10 

Simplify: 57/10 into a mixed fraction 5 7/10 

2nd way:
Converting the mixed fraction into an improper fraction and multiply.

9 1/2 = ((92)+1)/ 2 = 19/2

3/5 x 19/2 = 3
19 / 52 = 57/10 

57/10 = 5 7/10

3rd way: We can use rounding of fractions to estimate the products.

3/5
9 1/2

9 1/2 can be rounded off to 10.

3/5 10 = 310 / 5
30 / 5 = 6 is the estimated product of rounding.