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.

• 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.