express 0.8 bar as a fractional in simplest form
Answers
Answered by
4
Answer:
8/9
Step-by-step explanation:
Explanation:
We have a repeating decimal,
0
.
¯
8
Let us put this equal to
x
.
Then,
x
=
0
.
¯
8
Multiply both sides by
10
:
10
x
=
8
.
¯
8
We can write this
8
.
¯
8
as a sum of a whole number and a decimal number:
10
x
=
8
+
0
.
¯
8
Now, we know that
x
=
0
.
¯
8
10
x
=
8
+
x
10
x
−
x
=
8
+
x
−
x
9
x
=
8
9
x
9
=
8
9
x
=
8
9
Therefore,
0
.
¯
8
=
8
9
Answered by
4
8/9
This is the answer.
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