How do you simplify #2/3 div 5/12#?

2 Answers
Shantelle
Apr 4, 2018

#8/5#

Explanation:

#2/3 -: 5/12#

Dividing something is the same as multiplying it by its reciprocal. That means instead of doing #-: 5/12# we can rewrite it as #* 12/5#

#2/3 * 12/5#

#2/(cancel(3)1) * (cancel(12)4)/5#

#8/5#

Hope this helps!

Jade
Apr 4, 2018

#1 3/5#

Explanation:

#2/3 -: 5/12#
Substitute the #-:# sign by #xx# sign and reverse the fraction (reciprocal)
#2/3 xx 12/5#
#2/cancel3 xx (4 cancel12)/5#
#8/5#
# rArr 1 3/5#

Hope this helps :)

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