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100 LearnersLast updated on March 28th, 2025
1.44444444444 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, 1.44444444444, we are going to learn how to convert a decimal to a fraction.
What is 1.44444444444 as a Fraction?
Answer
The answer for 1.44444444444 as a fraction will be 13/9.
Explanation
Converting a repeating decimal to a fraction is a task that can be done systematically. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 1.44444444444...
Step 2: Recognize that the decimal part repeats every 1 digit. Multiply both sides of the equation by 10 to move the repeating part to the left of the decimal point. 10x = 14.44444444444...
Step 3: Subtract the original equation (x = 1.44444444444...) from this new equation: 10x - x = 14.44444444444... - 1.44444444444...
Step 4: This simplifies to: 9x = 13
Step 5: Solve for x by dividing both sides by 9: x = 13/9
Thus, 1.44444444444 can be written as a fraction 13/9.
Important Glossaries for 1.44444444444 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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