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117 LearnersLast updated on March 7th, 2025
1.66666666 as a Fraction
Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. 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, 1.66666666, we are going to learn how to convert a decimal to a fraction.
What is 1.66666666 as a Fraction?
Answer:
The answer for 1.66666666 as a fraction will be 5/3.
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: Firstly, identify the repeating part of the decimal. Here, 1.66666666 has a repeating part of 6. To express it as a fraction, let x = 1.66666666.
Step 2: Multiply x by 10 to shift the decimal point for the repeating section. This yields 10x = 16.66666666.
Step 3: Subtract the original x from this equation: 10x - x = 16.66666666 - 1.66666666 9x = 15
Step 4: Solve for x by dividing both sides by 9: x = 15/9
Step 5: Simplify the fraction 15/9 by dividing the numerator and denominator by their GCD, which is 3: 15/9 = 5/3
Thus, 1.66666666 can be written as a fraction 5/3.
Important Glossaries for 1.66666666 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 digits infinitely.
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