Question

Найдите неизвестный член отношения: 1)x: 11 3/7=1 1/10 2)x: 7 5/9=27/34 3)x: 4 3/4=2 3/19 4)9 2/7: x=1 6/7 5)10 2/13: x=1 7/26 6)12 1/7: x=2 3/7​

Answer 1

$1)\;x:11\frac37=1\frac1{10}\\\\x:\frac{80}7=\frac{11}{10}\\\\x=\frac{11}{10}\cdot\frac{80}7=\frac{88}7=12\frac37$

$2)\;x:7\frac59=\frac{27}{34}\\\\x:\frac{68}9=\frac{27}{34}\\\\x=\frac{27}{34}\cdot\frac{68}9\\\\x=6$

$3)\;x:4\frac34=2\frac3{19}\\\\x:\frac{19}4=\frac{41}{19}\\\\x=\frac{41}{19}\cdot\frac{19}4\\\\x=\frac{41}4=10\frac14$

$4)\;9\frac27:x=1\frac67\\\\\frac{65}7:x=\frac{13}7\\\\x=\frac{65}7:\frac{13}7\\\\x=\frac{65}7\cdot\frac7{13}\\\\x=5$

$5)\;10\frac2{13}:x=1\frac7{26}\\\\\frac{132}{13}:x=\frac{33}{26}\\\\x=\frac{132}{13}:\frac{33}{26}\\\\x=\frac{132}{13}\cdot\frac{26}{33}\\\\x=8$

$6)\;12\frac17:x=2\frac37\\\\\frac{85}7:x=\frac{17}7\\\\x=\frac{85}7:\frac{17}7\\\\x=\frac{85}7\cdot\frac7{17}\\\\x=5$