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101 LearnersLast updated on March 24th, 2025
33.3333333333 as a Fraction
Numbers can be categorized into different types. A fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 33.3333333333, we are going to learn how to convert a decimal to a fraction.
What is 33.3333333333 as a Fraction?
Answer
The answer for 33.3333333333 as a fraction will be 100/3.
Explanation
Converting a decimal to a fraction can be done easily by following some steps. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, any repeating decimal number should be expressed as a fraction. Here, let x = 33.3333333333...
Step 2: Multiply both sides by 10 to shift the decimal point by one place: 10x = 333.3333333333...
Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 333.3333333333... - 33.3333333333... 9x = 300
Step 4: Solve for x by dividing both sides by 9: x = 300/9 Step 5: Simplify the fraction by finding the GCD of 300 and 9, which is 3: 300/9 = (300 ÷ 3)/(9 ÷ 3) = 100/3
Thus, 33.3333333333 can be written as a fraction 100/3.
Important Glossaries for 33.3333333333 as a Fraction
- 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.
- Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
- 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.
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