What is 0.3 repeating as a Fraction?

Answer: 0.3 repeating (or 0.333…) as a fraction is 1/3.

Converting Repeating Decimals to Fractions

Repeating decimals are decimals in which one or more digits repeat infinitely. To convert the repeating decimal 0.333… to a fraction, you can use algebraic methods, setting x = 0.333…, then multiplying by 10 to get 10x = 3.333…, subtracting the original equation from this, and solving for x to get x = 1/3. 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 0.6 repeating as a fraction?

0.6 repeating is 2/3.

What is 0.12 repeating as a fraction?

0.12 repeating is 1/8.

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