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119 LearnersLast updated on March 7th, 2025
0.454545 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, 0.454545, we are going to learn how to convert a decimal to a fraction.
What is 0.454545 as a Fraction?
Answer
The answer for 0.454545 as a fraction will be 5/11.
Explanation
Converting a repeating decimal to a fraction can be a little more complex, but it is easily manageable with the right approach. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 0.454545...
Step 2: Since the decimal repeats every two digits, multiply x by 100 to shift the decimal point two places to the right. 100x = 45.454545...
Step 3: Now subtract the original x from this equation: 100x - x = 45.454545... - 0.454545... 99x = 45
Step 4: Solve for x by dividing both sides by 99: x = 45/99 Step 5: Simplify the fraction by finding the GCD of 45 and 99, which is 9: 45/99 = 5/11
Thus, 0.454545 can be written as a fraction 5/11.
Important Glossaries for 0.454545 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.
- 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 each of the integers without a remainder.
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