Table Of Contents
116 LearnersLast updated on March 7th, 2025
0.54545454545 as a Fraction
Numbers can be categorized into different types. Fraction is one of its kinds. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A 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, 0.54545454545, we are going to learn how to convert a decimal to a fraction.
What is 0.54545454545 as a Fraction?
Answer:
The answer for 0.54545454545 as a fraction will be 6/11.
Explanation:
Converting a repeating decimal to a fraction requires understanding the repeating pattern. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 0.54545454545... (This is a repeating decimal with the block "54" repeating indefinitely.)
Step 2: To eliminate the repeating part, multiply the entire equation by 100 (since the repeating block is 2 digits long): 100x = 54.54545454545...
Step 3: Subtract the original equation (x = 0.54545454545...) from this new equation: 100x - x = 54.54545454545... - 0.54545454545... This simplifies to: 99x = 54
Step 4: Solve for x by dividing both sides by 99: x = 54/99 Step 5: Simplify the fraction by finding the GCD of 54 and 99, which is 9: 54/99 = 6/11
Hence, 0.54545454545 as a fraction is 6/11.
Important Glossaries for 0.54545454545 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 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.
Explore More math-questions
Previous to 0.54545454545 as a Fraction
