Middle School

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A patient is on a low sodium, low-fat diet. Three months ago, the patient weighed 240 \(\frac{1}{8}\) lb. Now, the patient weighs 215 \(\frac{5}{8}\) lb. How many pounds did the patient lose?

Answer :

... 34.5 or 34 4/8
........

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Rewritten by : Barada

namely what's 240⅛ - 215⅝.


firstly, let's convert the mixed fractions to improper, and then divide.


[tex] \bf \stackrel{mixed}{240\frac{1}{8}}\implies \cfrac{240\cdot 8+1}{8}\implies \stackrel{improper}{\cfrac{1921}{8}}
\\\\\\
\stackrel{mixed}{215\frac{5}{8}}\implies \cfrac{215\cdot 8+5}{8}\implies \stackrel{improper}{\cfrac{1725}{8}}
\\\\\\
\cfrac{1921}{8}-\cfrac{1725}{8}\implies \stackrel{\textit{LCD is clearly 8}}{\cfrac{1921-1725}{8}}\implies \cfrac{196}{8}\implies \cfrac{49}{2}\implies 24\frac{1}{2} [/tex]