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105 LearnersLast updated on March 24th, 2025
0.15151515151 as a Fraction
Numbers can be categorized into different types. A 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, 0.15151515151, we are going to learn how to convert a decimal to a fraction.
What is 0.15151515151 as a Fraction?
Answer
The answer for 0.15151515151 as a fraction will be 5/33.
Explanation
Converting a repeating 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: Let x = 0.15151515151... (the repeating decimal)
Step 2: Multiply both sides by 100 to move the decimal point two places to the right, since the repeating part is two digits: 100x = 15.1515151515...
Step 3: Subtract the original equation (Step 1) from this new equation: 100x = 15.1515151515... x = 0.15151515151... ------------------------ 99x = 15
Step 4: Solve for x by dividing both sides by 99: x = 15/99
Step 5: Simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 3: 15/99 = 5/33
Thus, 0.15151515151 can be written as a fraction 5/33.
Important Glossaries for 0.15151515151 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.
- Greatest Common Divisor: The largest positive integer that divides the numbers without a remainder.
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