6.667 as a Fraction

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Numbers can be categorized into different types. A fraction is one such type. 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; numbers in decimal are expressed with a decimal point (.), for example, 6.667. We are going to learn how to convert a decimal to a fraction.

What is 6.667 as a Fraction?

$6.667 as a fraction$ Answer

The answer for 6.667 as a fraction is 20/3.

Explanation

Converting a decimal to a fraction is a task that can be done easily by following a few steps. 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, 6.667 is the number on the numerator and 1 will be the denominator. Then, 6.667 becomes 6.667/1.

Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 1000 (because there are three decimal places). 6.667/1 × 1000/1000 = 6667/1000

Step 3: Determine the greatest common divisor (GCD) of 6667 and 1000, which is 1 in this case. Since 6667 and 1000 have no common divisors other than 1, the fraction is already in its simplest form.

Step 4: Since 6667/1000 is a non-reduced form, divide both the numerator and denominator by their GCD if possible. Here, 6667/1000 can be further simplified by recognizing the repeating decimal form, which simplifies to 20/3.

Hence, 6.667 can be written as a fraction 20/3.

Important Glossaries for 6.667 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.