Express 1.323232...+0.353535... as a fraction in simplest form.
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1.323232.....+0.3535.35....
Let x=1.3232 ………..(1)
100x=132.3232 ………..(2)
Equation (2) - Equation (1)
⇒99x=131
∴x=
99
131
Let y=0.353535 ………..(3)
100y=35.3535 ……….(4)
100y−y=35
y=35/99
Now x+y=
99
131+35
=
99
166
.
Hope it helps.
Mark me the brainliest
Let x=1.3232 ………..(1)
100x=132.3232 ………..(2)
Equation (2) - Equation (1)
⇒99x=131
∴x=
99
131
Let y=0.353535 ………..(3)
100y=35.3535 ……….(4)
100y−y=35
y=35/99
Now x+y=
99
131+35
=
99
166
.
Hope it helps.
Mark me the brainliest
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