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111 LearnersLast updated on March 10th, 2025
3.66666 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, 3.66666, we are going to learn how to convert a decimal to a fraction.
What is 3.66666 as a Fraction?
Answer
The answer for 3.66666 as a fraction will be 11/3.
Explanation
Converting a repeating 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: Let x = 3.66666... (recurring).
Step 2: Multiply both sides by 10 to eliminate the repeating part. 10x = 36.66666...
Step 3: Subtract the original equation (x = 3.66666...) from this new equation. 10x - x = 36.66666... - 3.66666... 9x = 33
Step 4: Solve for x by dividing both sides by 9. x = 33/9
Step 5: Simplify the fraction by dividing the numerator and the denominator by their GCD, which is 3. 33/9 = 11/3
Thus, 3.66666 can be written as a fraction 11/3.
Important Glossaries for 3.66666 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.
