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Last updated on March 7th, 2025

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14.6666666667 as a Fraction

Professor Greenline Explaining Math Concepts
Foundation
Intermediate
Advance Topics

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 both 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, 14.6666666667. We are going to learn how to convert a decimal to a fraction.

Professor Greenline from BrightChamps

What is 14.6666666667 as a Fraction?

14.6666666667 as a fraction

 

Answer

 

The answer for 14.6666666667 as a fraction will be 44/3.

 

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, 14.6666666667 is the number on the numerator and the base number 1 will be the denominator. Then, 14.6666666667 becomes 14.6666666667/1.

 

Step 2: To express the repeating decimal part, recognize that 14.6666666667 can be written as 14 + 0.6666666667. The repeating part is 0.6666666667, which is equivalent to 2/3 as a fraction. Therefore, 14.6666666667 = 14 + 2/3.

 

Step 3: Convert 14 into a fraction with the same denominator to add it to 2/3. Thus, 14 = 42/3. Now add the two fractions: 42/3 + 2/3 = 44/3.

 

Hence, 14.6666666667 can be written as the fraction 44/3.

Professor Greenline from BrightChamps

Important Glossaries for 14.6666666667 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 sequence 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.

 

  • Mixed Number: A number consisting of an integer and a proper fraction.
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