Answer:
[tex] \frac{50}{63} [/tex]
Step-by-step explanation:
[tex] \frac{10}{9} \div 1 \frac{2}{5} \\ \\convert \: the \: improper \: fraction \: into \: a \: mixed \: number [/tex]
[tex] \frac{10}{9} \div \frac{5 + 2}{5} \\ \\ calculate \: the \: sum \: or \: difference \: [/tex]
[tex] \frac{10}{9} \div \frac{7}{5} \\ \\ divide \: a \: fraction \: by \: multiplying \: its \: reciprocal[/tex]
[tex] \frac{10}{9} \times \frac{5}{7} \\ \\ write \: as \: a \: single \: fraction \\ \\ \frac{10 \times 5}{9 \times 7} \\ \\ calculate \: the \: product \: or \: quotient \\ \\ \frac{50}{9 \times 7} \\ \\ \\ calculate \: the \: product \: or \: quotient \\ \\ \frac{50}{63} [/tex]
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