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108 LearnersLast updated on March 24th, 2025
4.333333333 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, 4.333333333, we are going to learn how to convert a decimal to a fraction.
What is 4.333333333 as a Fraction?
Answer
The answer for 4.333333333 as a fraction will be 13/3.
Explanation
Converting a repeating decimal to a fraction involves recognizing the repeating part and using algebraic methods. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 4.333333333...
Step 2: Since the repeating part is 3, multiply both sides of the equation by 10 to shift the decimal point: 10x = 43.333333333...
Step 3: Subtract the original equation from this new equation: 10x - x = 43.333333333... - 4.333333333... 9x = 39
Step 4: Solve for x by dividing both sides by 9: x = 39/9 Step 5: Simplify the fraction 39/9 by dividing both the numerator and the denominator by their greatest common divisor, which is 3: 39/9 = 13/3
Thus, 4.333333333 can be written as a fraction 13/3.
Important Glossaries for 4.333333333 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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