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119 LearnersLast updated on March 24th, 2025
0.44444444444 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, 0.44444444444, we are going to learn how to convert a decimal to a fraction.
What is 0.44444444444 as a Fraction?
Answer
The answer for 0.44444444444 as a fraction is 4/9.
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, identify if the decimal is repeating. Here, 0.44444444444 is a repeating decimal with the digit 4 repeating.
Step 2: To convert a repeating decimal to a fraction, let x = 0.44444444444...
Step 3: Multiply both sides by 10 to move the decimal point one place to the right: 10x = 4.44444444444...
Step 4: Subtract the original equation (x = 0.44444444444...) from this new equation: 10x - x = 4.44444444444... - 0.44444444444...
Step 5: This simplifies to 9x = 4, so x = 4/9.
Thus, 0.44444444444 can be written as a fraction 4/9.
Important Glossaries for 0.44444444444 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part 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.
- Non-terminating Decimal: A decimal that does not end and continues infinitely, often repeating.
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