Question

х+5/14=5/6

4 5/19+х+1 1/38=12 1/2

17 3/8-y=9 5/12+2 1/6

14 9/16-х=6 3/4+1 2/5
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Answer 1

$x+frac5{14}=frac56\x=frac56-frac5{14}\x=frac{35}{42}-frac{15}{42}=frac{10}{42}=frac5{21}\\4frac5{19}+x+1frac1{38}=12frac12\x=12frac12-left(4frac5{19}+1frac1{38}right)\x=12frac{19}{38}-left(4frac{10}{38}+1frac1{38}right)\x=12frac{19}{38}-5frac{11}{38}\x=7frac8{38}=7frac4{19}\\17frac38-y=9frac5{12}+2frac16\y=17frac38-left(9frac5{12}+2frac16right)\y=17frac9{24}-left(9frac{10}{24}+2frac4{24}right)\y=17frac9{24}-11frac{14}{24}\y=5frac{19}{24}$

$14frac9{16}-x=6frac34+1frac25\x=14frac9{16}-left(6frac34+1frac25right)\x=14frac{45}{80}-left(6frac{60}{80}+1frac{32}{80}right)\x=14frac{45}{80}-7frac{92}{80}\x=14frac{45}{80}-8frac{12}{80}\x=6frac{33}{80}$