how to convert a fraction into a recurring decimal
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Converting repeating decimals to fractions
Let x equal the repeating decimal you are trying to convert to a fraction.
Examine the repeating decimal to find the repeating digit(s).
Place the repeating digit(s) to the left of the decimal point.
Place the repeating digit(s) to the right of the decimal point.
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- Sometimes, when we divide the numerator by the denominator, it becomes clear that the digits will keep repeating. In this case, we write the answer as a repeating decimal. In our answer, we write a bar over the repeating digits to show that they repeat.
- To find out whether a fraction will have a terminating or recurring decimal, look at the prime factors of the denominator when the fraction is in its most simple form. If they are made up of 2s and/or 5s, the decimal will terminate.
KEEP IN MIND
RECURRING DECIMAL AND REPEATING DECIMAL BOTH ARE SAME
Step-by-step explanation:
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