What is 0.6 repeating as a Fraction?
Answer: 0.6 repeating (or 0.666…) as a fraction is 2/3.
Converting Repeating Decimals to Fractions
Repeating decimals are decimals in which one or more digits repeat infinitely. To convert the repeating decimal 0.666… to a fraction, you can use algebraic methods, setting x = 0.666…, then multiplying by 10 to get 10x = 6.666…, subtracting the original equation from this, and solving for x to get x = 2/3. This conversion is crucial in mathematics for simplifying calculations, performing algebraic operations, and understanding the properties of numbers.
FAQ on Converting Repeating Decimals to Fractions
What is 0.9 repeating as a fraction?
0.9 repeating is 1.
What is 0.3 repeating as a fraction?
0.3 repeating is 1/3.
What is 0.12 repeating as a fraction?
0.12 repeating is 1/8.
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