12.6666666667 as a Fraction

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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. 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, 12.6666666667, we are going to learn how to convert a decimal to a fraction.

What is 12.6666666667 as a Fraction?

$12.6666666667 as a fraction$ Answer

The answer for 12.6666666667 as a fraction will be 38/3.

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, separate the whole number from the decimal part. Here, 12 is the whole number and 0.6666666667 is the decimal part.

Step 2: Recognize that 0.6666666667 is a repeating decimal (0.6 repeating). Convert this repeating decimal to a fraction. The repeating decimal 0.6666666667 is approximately equivalent to 2/3 when considering the repeating nature.

Step 3: Add the whole number to the fraction. This gives us 12 + 2/3.

Step 4: Convert this mixed number to an improper fraction. Multiply the whole number by the denominator of the fraction, and add the numerator. Thus, 12 * 3 + 2 = 36 + 2 = 38. The denominator remains 3.

Therefore, 12.6666666667 as a fraction is 38/3.

Important Glossaries for 12.6666666667 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.
Mixed Number: A number consisting of an integer and a proper fraction.
Improper Fraction: A fraction in which the numerator is greater than or equal to the denominator.