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jok3333 [9.3K]
3 years ago
14

ac{3}{5} - 1 \frac{3}{8} " alt="2 \frac{3}{5} - 1 \frac{3}{8} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Naily [24]3 years ago
8 0

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

\bf \stackrel{mixed}{2\frac{3}{5}}\implies \cfrac{2\cdot 5+3}{5}\implies \stackrel{improper}{\cfrac{13}{5}}~\hfill \stackrel{mixed}{1\frac{3}{8}}\implies \cfrac{1\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{11}{8}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{13}{5}-\cfrac{11}{8}\implies \stackrel{\textit{using the LCD of 40}}{\cfrac{(8)13~~-~~(5)11}{40}}\implies \cfrac{104-55}{40}\implies \cfrac{49}{40}\implies 1\frac{9}{40}

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