Question

How can we find `3 9/10` of `15/16?` How could we check by estimating?

Answer 1

`=3 21/32`

Explanation:

"Of" is the same as `xx`

`3 9/10 xx 15/16`

Change to an improper fraction.

`= 39/10 xx15/16" "larr` cancel where possible

`= 39/cancel10^2 xxcancel15^3/16`

`=117/32`

`=3 21/32`

If we estimate the answer we see that we are multiplying a number a little less than `4` by a number just less than `1`.
We expect an answer a bit less than `4`.

`3 21/32` is reasonable.