2.666 as a Fraction

Answer

The answer for 2.666 as a fraction will be 8/3.

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, 2.666 is the number on the numerator and the base number 1 will be the denominator. Then, 2.666 becomes 2.666/1.

Step 2: To remove the repeating decimal from a fraction, you need to consider the repeating part separately. 2.666 can be written as 2 + 0.666...

Step 3: The repeating decimal 0.666... can be expressed as the fraction 2/3. So, 2.666 becomes 2 + 2/3.

Step 4: Convert the whole number to a fraction and add: 2 = 6/3. Therefore, 2 + 2/3 = 6/3 + 2/3 = 8/3.

Thus, 2.666 can be written as the fraction 8/3.

• 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, such as 0.666...