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111 LearnersLast updated on March 26th, 2025
4.3333333 as a Fraction
Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. 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, 4.3333333, we are going to learn how to convert a repeating decimal to a fraction.
What is 4.3333333 as a Fraction?
Answer
The answer for 4.3333333 as a fraction will be 13/3.
Explanation
Converting a repeating decimal to a fraction involves some steps that can be done easily. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 4.3333333...
Step 2: Multiply the equation by 10 to shift the decimal point: 10x = 43.3333333...
Step 3: Subtract the original equation (x = 4.3333333...) from the new equation: 10x - x = 43.3333333... - 4.3333333...
Step 4: This results in 9x = 39.
Step 5: Solve for x: x = 39/9.
Step 6: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3: 39/9 = 13/3.
Thus, 4.3333333 can be written as the fraction 13/3.
Important Glossaries for 4.3333333 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.
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