How do you simplify #1\frac{5}{8}\times 3\frac{1}{5}#?

2 Answers
Nov 18, 2016

You first convert each mixed fraction to an improper fraction:

Explanation:

#1+5/8=1xx8/8+5/8=(8+5)/8=13/8#

#3+1/5=3xx5/5+1/5=(15+1)/5=16/5#

Now we multiply:
#13/8xx16/5=(13xx16)/(8xx5) #

We can cancel by factoring:
#(13xx2xxcancel8)/(5xxcancel8)=26/5#

Now take the #5/5# 's out for the whole number:
#5xx5/5+1/5=5 1/5#

Nov 19, 2016

Very details working out so you can see all the steps.

#5 1/5#

Explanation:

#color(green)([color(red)(1)+5/8]xx[color(red)((3xx1))+1/5])#

#color(green)([color(red)(8/8)+5/8]xx[color(red)((3xx5/5))+1/5])#

#color(green)([color(red)(8/8)+5/8]xx[color(red)(15/5)+1/5])#

#[13/8]xx[16/5]#

Cancelling out the 8's

#(13xx16)/(8xx5) =(13xxcancel(16)^2)/(cancel(8)^1xx5) = 26/5#

Write #26/5# as #" "25/5 + 1/5#

Cancelling out the 5's

# = (cancel(25)^5)/(cancel(5)^1)+1/5" " =" " 5 1/5#