
To calculate:To convert decimal into a fraction or mixed number in simplest form

Answer to Problem 31SGR
Decimalcan be represented in mixed fraction as
Explanation of Solution
Given information:Decimal is
Calculation:
Decimal is given as
Here, decimal is a repeating decimal
Let us assume
Here, repeating digit is 27, thus, to place the repeating digit to the left of decimal point, decimal point needs to be moved 2place to the right
Multiplying the (1) by 100,
Subtracting (1) from (2),
Thus, on solving above
Hence, decimalcan be represented in mixed fraction as
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