What is #11/25 * 5/11#?

1 Answer
Apr 1, 2016

#1/5#

Explanation:

#1#. Since #5# (numerator) and #25# (denominator) can both be divided by a common factor of #5#, their values are reduced.

#11/25*5/11#

#=11/color(red)cancelcolor(black)25^5*color(red)cancelcolor(black)5^1/11#

#=11/5*1/11#

#2#. Similarly, #11# (numerator) and #11# (denominator) can also be divided by a common factor. Thus, their values are also reduced.

#=color(teal)cancelcolor(black)11^1/5*1/color(teal)cancelcolor(black)11^1#

#=1/5*1/1#

#=color(green)(|bar(ul(color(white)(a/a)1/5color(white)(a/a)|)))#