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109 LearnersLast updated on March 10th, 2025
1.166666667 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, 1.166666667, we are going to learn how to convert a decimal to a fraction.
What is 1.166666667 as a Fraction?
Answer
The answer for 1.166666667 as a fraction will be 7/6.
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, any decimal number should be converted to a fraction for easy calculation. Here, 1.166666667 has the whole number part 1 and the decimal part 0.166666667. It can be expressed as a mixed number: 1 + 0.166666667.
Step 2: Recognize that 0.166666667 is a repeating decimal. We express it as a fraction. Let x = 0.166666667. Then, 10x = 1.66666667. Subtract the first equation from the second: 10x - x = 1.5, giving 9x = 1.5, so x = 1.5/9 = 1/6.
Step 3: Combine the whole number and the fraction: 1 + 1/6 = 6/6 + 1/6 = 7/6.
Thus, 1.166666667 can be written as the fraction 7/6.
Important Glossaries for 1.166666667 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 fraction that has a digit or group of digits that repeats indefinitely.
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