3.66666667 as a Fraction

Answer

The answer for 3.66666667 as a fraction will be 11/3.

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, express the decimal number as a sum of its whole and decimal parts. Here, 3.66666667 can be expressed as 3 + 0.66666667.

Step 2: Recognize that 0.66666667 is a repeating decimal. It can be written as 2/3 in fractional form.

Step 3: Combine the whole number and the fractional part. The whole number 3 can be expressed as a fraction with a denominator of 3, so it becomes 9/3. Adding this to 2/3 gives us: 9/3 + 2/3 = 11/3

Thus, 3.66666667 can be written as a fraction 11/3.

• 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.

• 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.