66.666 as a Fraction

Answer

The answer for 66.666 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, 66.666 is the number on the numerator and the base number 1 will be the denominator. Then, 66.666 becomes 66.666/1.

Step 2: To remove the repeating decimal from a fraction, you need to multiply both the numerator and the denominator by 1000 (because the repeating sequence is three digits long). 66.666/1 × 1000/1000 = 66666/1000

Step 3: Here, identify the repeating part (666) and subtract to find the fraction. For repeating decimals, subtract the non-repeating part (66) multiplied by 10 from the repeating part. (66666 - 66) / (1000 - 10) = 66600/990

Step 4: Simplify the fraction by finding the greatest common divisor (GCD) of 66600 and 990, which is 330. 66600/990 ÷ 330/330 = 200/3

Thus, 66.666 can be written as a fraction 200/3.

• Fraction: A numerical quantity that is not a whole number, representing a part of a whole.

• Decimal: A number that uses 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.

• 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.