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Last updated on May 26th, 2025

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0.15151515151 as a Fraction

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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.

0.15151515151 as a Fraction for Filipino Students
Professor Greenline from BrightChamps

What is 0.15151515151 as a Fraction?

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.

Professor Greenline from BrightChamps

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.
Professor Greenline from BrightChamps

About BrightChamps in Philippines

At BrightChamps, we believe math questions are more than just calculations—they’re gateways to many opportunities! We’re dedicated to helping kids all across the Philippines master essential math skills, focusing today on the 0.15151515151 as a Fraction with a special emphasis on fraction conversions—in a fun, engaging, and easy-to-follow way. Whether your child is figuring out how fast a roller coaster races through Enchanted Kingdom, tracking scores at a local basketball game, or managing their allowance to buy the latest gadgets, strong math skills give them the confidence to tackle everyday challenges. Our interactive lessons keep learning both clear and enjoyable. Since kids in the Philippines learn differently, we customize our approach to fit each child’s style. From the bustling streets of Manila to the beautiful islands of Palawan, BrightChamps brings math to life, making it relevant and exciting throughout the Philippines. Let’s make fraction conversions a fun part of every child’s math journey!
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