Table Of Contents
113 LearnersLast updated on March 11th, 2025
2.33333333333 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 are expressed with a decimal point (.), for example, 0.375. We are going to learn how to convert a decimal to a fraction.
What is 2.33333333333 as a Fraction?
Answer
The answer for 2.33333333333 as a fraction will be 7/3.
Explanation
Converting a repeating decimal to a fraction is a task that can be done easily. Follow the steps mentioned below to find the answer.
Step 1: Let x = 2.33333333333...
Step 2: Multiply both sides by 10 to shift the decimal point one place to the right: 10x = 23.3333333333...
Step 3: Subtract the original equation from this new equation: 10x - x = 23.3333333333... - 2.33333333333... 9x = 21
Step 4: Solve for x by dividing both sides by 9: x = 21/9
Step 5: Simplify the fraction by finding the GCD of 21 and 9, which is 3. 21/9 = 7/3
Thus, 2.33333333333 can be written as a fraction 7/3.
Important Glossaries for 2.33333333333 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 one or more digits repeat 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.
