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129 LearnersLast updated on March 10th, 2025
2.333333 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. Numbers in decimal form are expressed with a decimal point (.), For example, 2.333333. We are going to learn how to convert a decimal to a fraction.
What is 2.333333 as a Fraction?
Answer:
The answer for 2.333333 as a fraction will be 7/3.
Explanation:
Converting a decimal to a fraction is a task for students that can be done easily. 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, 2.333333 is a repeating decimal, where 3 is the repeating part. Let's denote it by x. So, x = 2.333333...
Step 2: Multiply both sides of the equation by 10 to shift the decimal point: 10x = 23.333333...
Step 3: Subtract the original equation (x = 2.333333...) from this new equation: 10x - x = 23.333333... - 2.333333... 9x = 21
Step 4: Solve for x by dividing both sides by 9: x = 21/9 Step 5: Simplify the fraction by dividing the numerator and the denominator by their GCD, which is 3: 21/9 = 7/3
Thus, 2.333333 can be written as a fraction 7/3.
Important Glossaries for 2.333333 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.
- 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.
- Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.
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