Brent divided #3 1/5# by a number and got #4 1/2#. What number did he divide by?

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Answer 1 · 2016-03-29T14:57:56

The number divided by was #32/45#

Let the unknown number be #x#

Then #3 1/5 -: x = 4 1/2#

Write as

#" " 16/5 -:x= 9/2#

Suppose we had the common denominator of 10 then we would have:

#" "32/10 -:x = 45/10#

Get rid of the 10: multiply through out by 10 giving:

#" "32-:x=45#

#=>32/x=45#

#=>x=32/45#