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155 LearnersLast updated on March 11th, 2025
33 1/3 as a Decimal
It is a simple question on decimal conversion. Firstly, we have to learn fractions and decimals. A fraction represents a part of the whole. It has two parts: the numerator (number on the top), here 1, which represents how many parts out of the whole, and the denominator (number below), here 3, which shows how many parts make the whole. A decimal is a way to represent a number that is not whole, using a (.) or a decimal point to separate the whole part from the fractional part. The numbers to the left of the decimal point represent the whole, and those to the right represent the fractional part.
What is 33 1/3 as a decimal?
Answer
33 1/3 as a decimal can be written as 33.3333… It is a recurring decimal, showing it will repeat the same digit infinitely.
Explanation
To convert 33 1/3 to a decimal, we first convert the fractional part 1/3 to a decimal, which is 0.3333.... Then, we add this to the whole number 33. Let's see the step-by-step breakdown of the process:
Step 1: Convert the fractional part 1/3 to a decimal.
Step 2: Use the division method to convert 1/3 to a decimal. Since 1 is smaller than 3, we use decimals to get 0.3333..., as shown in the explanation above.
Step 3: Add this result to the whole number 33.
Step 4: The result is 33 + 0.3333... = 33.3333...
The answer for 33 1/3 as a decimal will be 33.3333…
Important Glossaries for 33 1/3 as a decimal
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Decimal: A number that uses the base ten and includes a decimal point to separate the whole part from the fractional part.
- Numerator: The top part of a fraction, indicating how many parts of the whole are being considered.
- Denominator: The bottom part of a fraction, showing how many parts make up a whole.
- Recurring Decimal: A decimal in which one or more digits repeat infinitely.
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