4.66666 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

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 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, 4.66666, we are going to learn how to convert a decimal to a fraction.

What is 4.66666 as a Fraction?

$4.66666 as a fraction$ Answer

The answer for 4.66666 as a fraction will be 14/3.

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, the decimal 4.66666 is a repeating decimal, which can be considered as 4 + 0.66666.

Step 2: Recognizing 0.66666 as a repeating decimal, we can express it as the fraction 2/3.

Step 3: Combine this with the whole number 4: 4 + 2/3 = 12/3 + 2/3 = 14/3.

Thus, 4.66666 can be written as a fraction 14/3.

Important Glossaries for 4.66666 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 in which a digit or group of digits repeats infinitely.