Concept explainers
To calculate:To convert decimal into a fraction or mixed number in simplest form
Answer to Problem 30SGR
Decimalcan be represented in 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 5, thus, to place the repeating digit to the left of decimal point, decimal point needs to be moved 1 place to the right
Multiplying the (1) by 10,
Subtracting (1) from (2),
Thus, on solving above
Hence, decimalcan be represented in fraction as
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