Question

Решить пропорцию 11 1/5:7=10 1/2:х

Answer 1

$\\ \frac{ 11\frac{1}{5} }{7} == \frac{10 \frac{1}{2} }{x} \\ \\ 11\frac{1}{5}*x=10 \frac{1}{2}*7 \\ \\ \frac{56}{5} x= \frac{21}{2} *7 \\ \\ \frac{56}{5} x= \frac{147}{2} \\ \\ x=\frac{147}{2} : \frac{56}{5} \\ \\ x=\frac{147}{2}* \frac{5}{56} \\ \\ x= \frac{735}{112} \\ \\ x=6 \frac{63}{112}$

Answer 2

$\frac{ \frac{56}{5} }{7}= \frac{ \frac{21}{2} }{x} \\ \frac{56}{35}= \frac{21}{2x}\\ 56*2x=21*35\\ 112x=735\\ x= \frac{735}{112}= 6\frac{63}{112}$