Question #4b8d8

1 Answer
Dec 15, 2017

#"see explanation"#

Explanation:

#"to simplify a fraction"#

#• " divide numerator/denominator by a "color(blue)"common factor"#

#"this process is referred to as "color(blue)"cancelling"#

#"a "color(blue)"common factor ""of 4 and 20 is 4"#

#rArrcancel(4)^1/cancel(20)^5=1/5larrcolor(red)"in simplest form"#

#"a fraction is in "color(red)"simplest form"" when no other factor"#
#"but 1 will divide into the numerator/denominator"#

#rArr4/20=1/5!=4/5#

#"to find an equivalent fraction to "4/5#

#• " multiply the numerator/denominator by the same value"#

#rArr4/5=(4xxcolor(red)(2))/(5xxcolor(red)(2))=8/10#

#rArr4/5=(4xxcolor(red)(3))/(5xxcolor(red)(3))=12/15#

#rArr8/10" and "12/15" are equal to "4/5#