2 4/5 : 7/5 + 2 3/5
= (2×5+4) × 5/5×7 + 2×5+3/5
= 4+2×5/7 + 2×5+3/5
= 14/7 + 13/5
= 2 + 13/5
= 10/5 + 13/5
= 23/5
= 4.6
[tex]2 \frac{4}{5} \div \frac{7}{5} + 2 \frac{3}{5} [/tex]
[tex]( \frac{5 \times 2 + 4}{5} \div \frac{7}{5}) + \frac{5 \times 2 + 3}{5} [/tex]
[tex]( \frac{14}{5} \div \frac{7}{5} ) + \frac{13}{5} [/tex]
[tex]( \frac{14}{5} \times \frac{5}{7}) + \frac{13}{5} [/tex]
[tex]( \frac{14 \times 5}{5 \times 7} ) + \frac{13}{5} [/tex]
[tex] \frac{70}{35} + \frac{13}{5} [/tex]
[tex] \frac{2}{1} + \frac{13}{5} [/tex]
[tex] \frac{2 \times 5}{1 \times 5} + \frac{13}{5} [/tex]
[tex] \frac{10}{5} + \frac{13}{5} [/tex]
[tex] \frac{10 + 13}{5} [/tex]
[tex] \frac{23}{5} \to\bf\blue{4 \frac{3}{5} }[/tex]
[tex]\tiny\blue{☆}[/tex]