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126 LearnersLast updated on March 10th, 2025
18.6666 as a Fraction
Numbers can be categorized into different types. A fraction is one such type. 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, 18.6666. We are going to learn how to convert a decimal to a fraction.
What is 18.6666 as a Fraction?
Answer:
The answer for 18.6666 as a fraction is 56/3.
Explanation:
Converting a decimal to a fraction is a task for students that can be accomplished easily. You can follow the steps mentioned below to find the answer.
Step 1: Firstly, any decimal number should be considered. Here, 18.6666 is a repeating decimal. To handle repeating decimals, let x = 18.6666...
Step 2: Multiply both sides by 10 to shift the decimal point one place to the right. 10x = 186.6666...
Step 3: Subtract the original x from this equation to eliminate the repeating part. 10x - x = 186.6666... - 18.6666... 9x = 168
Step 4: Solve for x by dividing both sides by 9. x = 168/9
Step 5: Simplify the fraction. The GCD of 168 and 9 is 3. 168/9 ÷ 3/3 = 56/3
Hence, 18.6666 can be written as the fraction 56/3.
Important Glossaries for 18.6666 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 that has one or more repeating numbers or sequences of numbers after the decimal point indefinitely.
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