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blagie [28]
3 years ago
14

Marcus has 1 11/12 more yards of string than Alex. Alex has 1 1/3 yards of string .How much string does Marcus have ?​

Mathematics
1 answer:
STALIN [3.7K]3 years ago
6 0

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

\bf \stackrel{mixed}{1\frac{11}{12}}\implies \cfrac{1\cdot 12+11}{12}\implies \stackrel{improper}{\cfrac{23}{12}}~\hfill \stackrel{mixed}{1\frac{1}{3}}\implies \cfrac{1\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{4}{3}} \\\\[-0.35em] ~\dotfill

\bf \stackrel{\textit{Alex's}}{\cfrac{4}{3}}~~+~~\stackrel{\textit{more yards}}{\cfrac{23}{12}}\implies \stackrel{\textit{using an LCD of 12}}{\cfrac{(4)4~~+~~(1)23}{12}}\implies \cfrac{16+23}{12} \\\\\\ \cfrac{39}{12}\implies \stackrel{\textit{simplified}}{\cfrac{13}{4}}\implies 3\frac{1}{4}

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