At the beginning of his diet, Jack weighed #240 4/5# pounds. At the end of the diet, he weighed a weighed #3/4# his original weight. What did Jack weigh at the end of the diet?

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Answer 1 · 2017-09-17T23:59:57

See a solution process below:

We can rewrite this question as: What is #3/4# or #240 4/5#?

First, convert #240 4/5# from a mixed number to an improper fraction:

#240 4/5 => 240 + 4/5 => (5/5 xx 240) + 4/5 => 1200/5 + 4/5 =>#

#1204/5#

When dealing with fractions in this way the term "of" means to multiply. Therefore, we can write and evaluate the expression as:

#3/4 xx 1204/5 =>#

#3/4 xx (301 xx 4)/5 =>#

#3/color(red)(cancel(color(black)(4))) xx (301 xx color(red)(cancel(color(black)(4))))/5 =>#

#(3 xx 301)/5 =>#

#903/5#

We can now convert this improper fraction into a mixed number.

#(900 + 3)/5 => 900/5 + 3/5 => 180 + 3/5 => 180 3/5#

At the end of the diet Jack weighed #180 3/5#