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113 LearnersLast updated on March 7th, 2025
4.66666667 as a Fraction
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, 4.66666667. We are going to learn how to convert a decimal to a fraction.
What is 4.66666667 as a Fraction?
Answer
The answer for 4.66666667 as a fraction is 14/3.
Explanation
Converting a repeating decimal to a fraction is a task that involves recognizing the repeating part and using algebra. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 4.66666667...
Step 2: Multiply both sides by 10 to move the decimal point one place to the right. 10x = 46.6666667...
Step 3: Recognize the repeating part and multiply again by 10 to move the decimal point over one more digit of the repeating section. 100x = 466.6666667...
Step 4: Subtract the first equation from the third equation to eliminate the repeating decimal. 100x - 10x = 466.6666667... - 46.6666667... 90x = 420
Step 5: Divide both sides by 90 to solve for x. x = 420/90 = 14/3
Thus, 4.66666667 can be written as a fraction 14/3.
Important Glossaries for 4.66666667 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- Repeating Decimal: A decimal fraction in which a figure or group of figures is repeated indefinitely.
- 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.
- Algebra: A branch of mathematics dealing with symbols and the rules for manipulating those symbols.
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