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127 LearnersLast updated on March 6th, 2025
4.33333 as a Fraction
Numbers can be categorized into different types. A fraction is one such type. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2 in decimal form is expressed as 0.5. In this context, we are going to learn how to convert the decimal 4.33333 into a fraction.
What is 4.33333 as a Fraction?
Answer
The answer for 4.33333 as a fraction is 13/3.
Explanation
Converting a decimal to a fraction is a task that students can easily accomplish by following a few steps.
Step 1: Identify the repeating part of the decimal. Here, 4.33333 has a repeating decimal of 3.
Step 2: Let x = 4.33333...
Step 3: Multiply both sides by 10 to shift the decimal point: 10x = 43.33333...
Step 4: Subtract the original equation (x = 4.33333...) from this new equation (10x = 43.33333...): 10x - x = 43.33333... - 4.33333... This simplifies to: 9x = 39
Step 5: Solve for x by dividing both sides by 9: x = 39/9
Step 6: Simplify the fraction by finding the greatest common divisor (GCD) of 39 and 9, which is 3: 39/9 = 13/3
Thus, 4.33333 can be written as the fraction 13/3.
Important Glossaries for 4.33333 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing parts of a whole.
- 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.
- Greatest Common Divisor (GCD): The largest positive integer that divides two or more integers without a remainder.
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