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Last updated on May 26th, 2025

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1.46666 as a Fraction

Professor Greenline Explaining Math Concepts

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. Fractions represent 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, 1.46666, we are going to learn how to convert a decimal to a fraction.

1.46666 as a Fraction for Indonesian Students
Professor Greenline from BrightChamps

What is 1.46666 as a Fraction?

1.46666 as a fraction

 

Answer

 

The answer for 1.46666 as a fraction will be 22/15.

 

Explanation

 

Converting a 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: Firstly, any decimal number should be converted to a fraction for easy calculation. Here, 1.46666 is the number on the numerator and the base number 1 will be the denominator. Then, 1.46666 becomes 1.46666/1.

 

Step 2: To remove the repeating decimal from the fraction, recognize that 1.46666... is equivalent to 1.46 with the 6 repeating. Consider it as 1.46 + 0.00666....

 

Step 3: Express the repeating decimal part. Let x = 0.00666..., then 10x = 0.0666... and 100x = 0.6666.... Thus, 100x - 10x = 0.6666... - 0.0666..., which simplifies to 90x = 0.6, so x = 0.6/90 = 1/150. Therefore, 0.00666... = 1/150.

 

Step 4: Add this to the non-repeating part. 1.46 as a fraction is 146/100. So, 1.46666... = 146/100 + 1/150.

 

Step 5: Find a common denominator for 146/100 and 1/150, which is 1500. Convert each fraction: 146/100 = 2190/1500 and 1/150 = 10/1500.

 

Step 6: Add the fractions: 2190/1500 + 10/1500 = 2200/1500. Simplify by dividing the numerator and denominator by their GCD, which is 100. This gives 22/15.

 

Thus, 1.46666 can be written as a fraction 22/15.

Professor Greenline from BrightChamps

Important Glossaries for 1.46666 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 fraction in which a digit or group of digits repeats infinitely, such as 0.6666....

 

  • 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.
Professor Greenline from BrightChamps

About BrightChamps in Indonesia

At BrightChamps, we understand math questions are more than just calculations—they’re gateways to countless opportunities! Our mission is to support kids across Indonesia in building key math skills, focusing today on the 1.46666 as a Fraction with a special focus on fraction conversions—in a way that’s engaging, enjoyable, and easy to learn. Whether your child is figuring out how fast a roller coaster moves through Dunia Fantasi, tracking scores at a local badminton game, or managing their allowance for the latest gadgets, solid math skills give them confidence for everyday tasks. Our interactive lessons keep learning both simple and fun. Because children in Indonesia learn in different ways, we tailor our approach to each child’s style. From Jakarta’s bustling streets to Bali’s beautiful beaches, BrightChamps brings math to life, making it relevant and exciting throughout Indonesia. Let’s make fraction conversions an enjoyable part of every child’s math journey!
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