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

1 Answer
Apr 5, 2017

#=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.