Respuesta :

Leader
[tex]5\frac{1}{5} -2\frac{3}{5}=\frac{(5\times5)+1}{5} -\frac{(2\times5)+3}{5} =\frac{25+1}{5} -\frac{10+3}{5} =\frac{26}{5} -\frac{13}{5} =\frac{26-13}{5} =\frac{13}{5}\\\\ =\boxed{\bf{2\frac{3}5}}}[/tex]

The difference of 5 1/5 and 2 3/5 is 2 3/5.
Exvited
[tex]5 \frac{1}{5} - 2 \frac{3}{5} \\ \\ \frac{5 \times 5 + 1}{5} - 2\frac{3}{5} \ / \ convert \ to \ improper \ fraction \\ \\ \frac{25+1}{5} - 2 \frac{3}{5} \ / \ simplify \\ \\ \frac{26}{5} - 2 \frac{3}{5} \ / \ simplify \\ \\ \frac{26}{5} - \frac{2 \times 5 + 3}{5} \ / \ convert \ to \ improper \ fraction \\ \\ \frac{26}{5} - \frac{10+3}{5} \ / \ simplify \\ \\ \frac{26}{5} - \frac{13}{5} \ / \ simplify \\ \\ \frac{26-13}{5} \ / \ combine \ denominators \\ \\ \frac{13}{5} \ / \ simplify \\ \\ [/tex]

The final result is 13/5 or 2.6.

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