66.6666666667 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. 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, 66.6666666667, we are going to learn how to convert a decimal to a fraction.

What is 66.6666666667 as a Fraction?

$66.6666666667 as a fraction$

Answer

The answer for 66.6666666667 as a fraction will be 200/3.

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, 66.6666666667 is the number on the numerator and the base number 1 will be the denominator. Then, 66.6666666667 becomes 66.6666666667/1.

Step 2: To remove the repeating decimal from the fraction, you need to consider the repeating part separately. Here, the decimal 66.6666666667 can be expressed as 66 + 0.6666666667.

Step 3: Recognize that 0.6666666667 is approximately 2/3. So, the expression becomes 66 + 2/3.

Step 4: Convert 66 to a fraction with a common denominator: 66 = 198/3.

Step 5: Add the fractions: 198/3 + 2/3 = 200/3.

Thus, 66.6666666667 can be written as a fraction 200/3.

Important Glossaries for 66.6666666667 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.
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.
Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.