How do you evaluate #\frac { 2} { 3} \times \frac { 5} { 8} \times \frac { 6} { 7}#?

1 Answer
Gaya3
Oct 5, 2017

#5/14#

Explanation:

By cancelling #3" & " 6#, #2" & " 4#,
#=cancel(2)/cancel(3)times5/(cancel(8)4)times(cancel(6)2)/7#

Cancelling #2" & "4#
#=1/1times5/(cancel(4)2)timescancel(2)/7#

Now, there is no number with any factor left.

Multiply the #color(red)("denominators"# with #color(red)("denominators"# and #color(blue)("numerators")# with #color(blue)("numerators")#:-
#=color(blue)(5)/color(red)(2times7)#

#=5/14#

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