Question #11038

1 Answer
Oct 5, 2016

Answer:

#3#

Explanation:

Consider this question..

There are 30 sweets left in a packet, How many children can each be given 3 sweets?

This is a division... 30 sweets are being shared out into groups of 3.

#30 div 3 = 10#

The question you are asking is the same type of question, just with different numbers.

#6/8# is left how many quarters can be cut from it?

#6/8 div 1/4#

#cancel6^3/cancel8^cancel2 xx cancel4/1 " or " 24/8#

=#3#
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
This would have been more obvious if:

#6/8# had been simplified to #3/4# first!

"How many quarters are there in three-quarters?" 3!

#3/4 div 1/4#
=#3/4 xx 4/1#

=#3#