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104 LearnersLast updated on March 29th, 2025
1.1666 as a Fraction
Numbers can be categorized into different types. 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. 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, 1.1666, we are going to learn how to convert a decimal to a fraction.
What is 1.1666 as a Fraction?
Answer
The answer for 1.1666 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 fraction for easy calculation. Here, 1.1666 is the number on the numerator and the base number 1 will be the denominator. Then, 1.1666 becomes 1.1666/1.
Step 2: Recognize the repeating decimal. Here, 1.1666 has a repeating portion, which is 6. Let x = 1.1666... Now multiply both sides by 10 to move the decimal one place: 10x = 11.666...
Step 3: Subtract the original x from this equation: 10x - x = 11.666... - 1.1666... This simplifies to 9x = 10.5.
Step 4: Solve for x by dividing both sides by 9: x = 10.5/9 = 7/6 after simplifying.
Thus, 1.1666 can be written as a fraction 7/6.
Important Glossaries for 1.1666 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.
- Repeating Decimal: A decimal that has one or more repeating digits 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.
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