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lakkis [162]
3 years ago
9

At the beach roger built a sand castle that was 2and 2/8 feet high if he added a flag that was 2 and 1/4 feet high what is the t

otal height of his creation
Mathematics
1 answer:
kvasek [131]3 years ago
7 0

let's firstly convert the mixed fractions to improper fractions and then sum them up.

\bf \stackrel{mixed}{2\frac{2}{8}}\implies \cfrac{2\cdot 8+2}{8}\implies \stackrel{improper}{\cfrac{18}{8}}~\hfill \stackrel{mixed}{2\frac{1}{4}}\implies \cfrac{2\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{9}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{18}{8}+\cfrac{9}{4}\implies \stackrel{\textit{using the LCD of 8}}{\cfrac{(1)18+(2)9}{8}}\implies \cfrac{18+18}{8}\implies \cfrac{36}{8}\implies \cfrac{9}{2}\implies 4\frac{1}{2}

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