If you’re wondering what 0.333 as a fraction is, you’re not alone. This number can be a bit tricky to work with, but we can help. Here’s a quick guide on how to convert 0.333 into a fraction.
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Introduction
When writing numbers, we sometimes use a decimal point followed by zeroes to denote a certain amount of money. For example, if we wanted to write that someone had $10, we could write it as 10.00. Similarly, if someone had $5, we could write it as 5.00.
Decimals are a way of representing fractions, where the fractional part (the part to the right of the decimal point) denotes a portion of one whole number. In the number 10.00, the decimal point separates the whole number 10 from the fraction .00; and in 5.00, the decimal point separates the whole number 5 from the fraction .00.
The number 0.333 can be written as a fraction by placing the decimal point in its correct location and counting how many numbers are to the right of it:
0.333 = 3 3
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3
What is 0.333 as a Fraction?
0.333 can be written as 1/3. This fraction is often recurring in nature, which means that the decimal 0.333 repeats itself every three digits. When written as a fraction, the number 0.333 is simplified to 1/3.
Decimal to fraction conversion
To convert 0.333 to a fraction, divide the decimal by 1 and simplify the resulting fraction if necessary. In this instance,
0.333 = 0.333/1 = 3/9
When converting a decimal to a fraction, it is helpful to think of the number as being divided into a certain number of parts. In this case, there are 10 parts with three of them being shaded in. This means that 3/10, or 1/3, of the total number is shaded in. To convert 3/10 to lowest terms, divide both the numerator and denominator by their greatest common factor (GCF), which in this case is 3. This leaves us with 1/3 as our final answer:
3/10 = (3 ÷ 3)/(10 ÷ 3) = 1/3
0.333 as a fraction in lowest terms
0.333 as a fraction is 1/3. In order to convert a decimal to a fraction, you need to place the decimal over a power of ten equal to the number of decimal places in the decimal. In this case, you’ll place 0.333 over 1000 because there are three decimal places. This gives you the fraction 1000/333. To reduce this fraction to lowest terms, divide both the numerator (1000) and denominator (333) by 3, which leaves you with the fraction 1/3.
Conclusion
To summarize, .333 as a fraction is 1/3.
