How do you evaluate #4\frac { 2} { 3} \div 1\frac { 1} { 6} \cdot 2\frac { 1} { 3} \div 1\frac { 2} { 3}#?

1 Answer
EZ as pi
May 26, 2017

#28/5 = 5 3/5#

Explanation:

#4\frac { 2} { 3} \div 1\frac { 1} { 6} \cdot 2\frac { 1} { 3} \div 1\frac { 2} { 3}" "larr# change to improper fractions

#=14/3 div 7/6 xx 7/3 div 5/3" " larr (" "div rarr xx #reciprocal )
#color(white)(...............)darrcolor(white)(............)darr#
#=14/3 color(blue)(xx6/7) xx7/3 color(blue)(xx3/5)#

#=14/cancel3 xxcancel6^2/cancel7 xxcancel7/cancel3 xxcancel3/5" "larr # cancel where possible

#= (14xx2)/5" "larr#multiply straight across

#=28/5#

#= 5 3/5#

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