Express 2.36 + 0. 23 as a fraction in simplest form.
Answers
Answered by
0
Answer:
257
is the fraction obtained in simplest form for the given equation \bold{2 . \overline{36}+0 . \overline{23}}2.
36
+0.
23
Solution:
2 . \overline{36}2.
36
= 2.363636…..
Let x = 2.363636…..
Consider 100x = 236.3636…… (As the recurrence is for two digits we considered 100x)
100x -x = 236.3636… - 2.3636…= 234
99x = 234
x=\frac{234}{99}
99
234
0 . \overline{23}0.
23
= 0.232323….
Let x = 0.2323…
100x = 23.2323…
100x – x = 23
99x = 23
x=\frac{23}{99}
99
23
Therefore,\bold{\overline{36}+0 . \overline{23}=\frac{234}{99}+\frac{23}{99}=\frac{257}{99}}
36
+0.
23
=
99
234
+
99
23
=
99
257
Answered by
1
2.36 + 0.23 = 2.59
And it can be written as 259/100
And it can be written as 259/100
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