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114 LearnersLast updated on March 6th, 2025
4.33333333333 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, 1/3, the numbers in decimal are expressed with a decimal point (.), For example, 4.33333333333, we are going to learn how to convert a decimal to a fraction.
What is 4.33333333333 as a Fraction?
Answer
The answer for 4.33333333333 as a fraction will be 13/3.
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, separate the whole number part from the decimal part. Here, 4 is the whole number part, and 0.33333333333 is the repeating decimal part.
Step 2: To convert the repeating decimal 0.33333333333 to a fraction, set x = 0.33333333333. Multiply both sides by 10 to shift the decimal point: 10x = 3.33333333333.
Step 3: Subtract the original x from this equation: 10x - x = 3.33333333333 - 0.33333333333, which simplifies to 9x = 3.
Step 4: Solve for x: x = 3/9, which simplifies to 1/3.
Step 5: Combine the whole number part with the fraction: 4 + 1/3 = 12/3 + 1/3 = 13/3.
Thus, 4.33333333333 can be written as a fraction 13/3.
Important Glossaries for 4.33333333333 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Repeating Decimal: A decimal that has one or more repeating digits after the decimal point.
- 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.
- Whole Number: A number without fractions; an integer.
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