4.6666666667 as a Fraction

Professor Greenline Explaining Math Concepts

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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. 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, 4.6666666667, we are going to learn how to convert a decimal to a fraction.

What is 4.6666666667 as a Fraction?

$4.6666666667 as a fraction$

Answer

The answer for 4.6666666667 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: Recognize the repeating part of the decimal. Here, 4.6666666667 can be approximated as 4.666... with 6 repeating.

Step 2: Let x = 4.666..., then 10x = 46.666....

Step 3: Subtract the first equation from the second: 10x - x = 46.666... - 4.666... 9x = 42

Step 4: Solve for x: x = 42/9

Step 5: Simplify the fraction. 42/9 can be simplified by dividing both the numerator and denominator by 3. 42/9 = 14/3

Thus, 4.6666666667 can be written as a fraction 14/3.

Important Glossaries for 4.6666666667 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.
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.