3.666 as a Fraction

Professor Greenline Explaining Math Concepts

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Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both whole and fractional parts. Decimals represent the fractional part of numbers. For example, 1/2, the numbers in decimal are expressed with a decimal point (.), For example, 3.666, we are going to learn how to convert a decimal to a fraction.

What is 3.666 as a Fraction?

$3.666 as a fraction$ Answer

The answer for 3.666 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, any decimal number should be separated into its whole and decimal parts. Here, 3 is the whole number, and 0.666 is the decimal part. Start by converting 0.666 to a fraction.

Step 2: 0.666 is a repeating decimal, often represented as 0.666... To convert this to a fraction, let x = 0.666... Then, multiply both sides by 10 to shift the decimal: 10x = 6.666..., and subtract the original equation from this new equation: 10x - x = 6.666... - 0.666..., resulting in 9x = 6. Divide both sides by 9 to get x = 6/9. Simplify 6/9 to 2/3.

Step 3: Add the whole number part. Since the whole number part is 3, combine it with the fraction part to get 3 + 2/3 = 11/3 when expressed as an improper fraction.

Thus, 3.666 can be written as a fraction 11/3.

Important Glossaries for 3.666 as a Fraction

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 that has a sequence of digits that repeat infinitely.