Question #782b1

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Answer 1 · 2017-10-28T13:14:25

#1/2 : 2/3 = 3/4 : 1#

#x = 3/4#

To work out the value of #x#, we just need to figure out how to get from #2/3# to #1#, and do the same thing with the #1/2#.

To get from #2/3# to #1#, we can multiply by #1.5#:

#2/3 * 1.5 = 1#

As we multiplied by #1.5# for #2/3#, we need to do the same thing with the #1/2#:

#1/2 * 1.5 = 3/4#

Therefore, #x = 3/4# and

#1/2 : 2/3 = 3/4 : 1#