3.667 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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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. Fraction represents 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, 3.667, we are going to learn how to convert a decimal to a fraction.

What is 3.667 as a Fraction?

$3.667 as a fraction$

Answer

The answer for 3.667 as a fraction will be 3667/1000.

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, 3.667 is the number on the numerator and the base number 1 will be the denominator. Then, 3.667 becomes 3.667/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are three decimal places). 3.667/1 × 1000/1000 = 3667/1000

Step 3: Since 3667 is a prime number, the fraction cannot be simplified further.

Thus, 3.667 can be written as the fraction 3667/1000.

Important Glossaries for 3.667 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.
Non-Terminating Decimal: A decimal that does not end and may or may not repeat.