200 LearnersLast updated on May 26th, 2025
3.6666 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. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal are expressed with a decimal point (.), such as 3.6666. We are going to learn how to convert a decimal to a fraction.
What is 3.6666 as a Fraction?
Answer:
The answer for 3.6666 as a fraction will be 11/3.
Explanation:
Converting a repeating decimal to a fraction can be done by following these steps:
Step 1: Let x = 3.6666...
Step 2: Since the decimal repeats every four digits, multiply by 10,000 (10^4) to shift the decimal point: 10000x = 36666.6666...
Step 3: Subtract the original equation (x = 3.6666...) from this new equation: 10000x - x = 36666.6666... - 3.6666... 9999x = 36663
Step 4: Solve for x by dividing both sides by 9999: x = 36663/9999
Step 5: Simplify the fraction by dividing the numerator and the denominator by their GCD (3333): 36663/9999 = 11/3
Thus, 3.6666 can be written as a fraction 11/3.
Important Glossaries for 3.6666 as a Fraction
- Fraction: A numerical quantity that is not a whole number, representing a part of a whole.
- 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.
- Greatest Common Divisor (GCD): The largest positive integer that divides each of the numbers without a remainder.
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