[tex]3 \frac{14}{25} \div i = \frac{89}{15} [/tex]
[tex] \frac{3 \times 25 + 14}{25} \div i = \frac{89}{15} [/tex]
[tex] \frac{75 + 14}{25} \times \frac{1}{i} = \frac{89}{15} [/tex]
[tex] \frac{89}{25i} = \frac{89}{15} [/tex]
[tex]25i \times 89 = 89 \times 15 \: | \div 89[/tex]
[tex]25i = 15[/tex]
[tex]i = \frac{15}{25} [/tex]
[tex]i = \frac{3}{5} [/tex]