Concept explainers
The simplest form of
Answer to Problem 20E
The simplest of
Explanation of Solution
Given information:
The repeating decimal
Formula used:
To convert a repeating decimal to a fraction where the repeating digits is single, multiply both sides by 10 and simplify it further.
Calculation:
Consider the providedrepeating decimal
Let us denote
Recall that to convert a repeating decimal to a fraction where the repeating digits is single, multiply both sides by 10 and simplify it further.
So, multiply
Now, subtract
So, it will be written as,
Since,
Hence, the simplified form of repeating decimal
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