2.6666666666 as a Fraction

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Numbers can be categorized into different types. A fraction is one of its kinds. 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, the numbers in decimal are expressed with a decimal point (.), For example, 2.6666666666, we are going to learn how to convert a decimal to a fraction.

What is 2.6666666666 as a Fraction?

$2.6666666666 as a fraction$

Answer

The answer for 2.6666666666 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: Identify the repeating part of the decimal. The number 2.6666666666 has a repeating decimal part of '6'.

Step 2: Let x = 2.6666666666. To eliminate the repeating decimal, multiply x by 10 to shift the decimal point: 10x = 26.6666666666

Step 3: Subtract the original x from this equation: 10x - x = 26.6666666666 - 2.6666666666 9x = 24 Step 4: Solve for x by dividing both sides by 9: x = 24/9 Step 5: Simplify the fraction: 24/9 = 8/3

Thus, 2.6666666666 can be written as a fraction 8/3.

Important Glossaries for 2.6666666666 as a Fraction

Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
Repeating Decimal: A decimal that has one or more repeating digits after the decimal point.
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.
Simplifying a Fraction: The process of reducing a fraction to its simplest form by dividing both the numerator and the denominator by their greatest common divisor.