Express 0.38888....+1.27777.... as a fraction in simplest form
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Let 0.38888....=x
3.8888...=10x
38.888....=100x
Subtract 10x from 100x
35=90x
x=35/90
Similarly Let 1.27777... be y
12.7777... =10y
127.7777...=100y
Subtract 10y from 100y
115=90y
y=115/90
x+y= (35+115)/90
=150/90
=5/3
Hope you got it
3.8888...=10x
38.888....=100x
Subtract 10x from 100x
35=90x
x=35/90
Similarly Let 1.27777... be y
12.7777... =10y
127.7777...=100y
Subtract 10y from 100y
115=90y
y=115/90
x+y= (35+115)/90
=150/90
=5/3
Hope you got it
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