20.66666666667 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, 20.66666666667, we are going to learn how to convert a decimal to a fraction.

What is 20.66666666667 as a Fraction?

$20.66666666667 as a fraction$

Answer

The answer for 20.66666666667 as a fraction is 62/3.

Explanation

Converting a repeating decimal to a fraction can seem complex, but it can be achieved by following these steps:

Step 1: Let x = 20.66666666667 (where the '6' repeats infinitely).

Step 2: Multiply both sides of the equation by 10 to move the decimal point one place: 10x = 206.6666666667

Step 3: Subtract the original equation from this new equation to eliminate the repeating part: 10x - x = 206.6666666667 - 20.66666666667 9x = 186

Step 4: Solve for x by dividing both sides by 9: x = 186/9

Step 5: Simplify the fraction: 186/9 = 62/3

Thus, 20.66666666667 can be written as a fraction 62/3.

Important Glossaries for 20.66666666667 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.

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Hiralee Lalitkumar Makwana

About the Author

Hiralee Lalitkumar Makwana has almost two years of teaching experience. She is a number ninja as she loves numbers. Her interest in numbers can be seen in the way she cracks math puzzles and hidden patterns.