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104 LearnersLast updated on March 26th, 2025
1.16666666 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, 1.16666666. We are going to learn how to convert a decimal to a fraction.
What is 1.16666666 as a Fraction?
Answer
The answer for 1.16666666 as a fraction will be 7/6.
Explanation
Converting a repeating decimal to a fraction can be done using a straightforward method. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 1.16666666... (where the 6 repeats).
Step 2: Multiply both sides by 10 to move the repeating part: 10x = 11.66666666...
Step 3: Subtract the original x from this equation to eliminate the repeating part: 10x - x = 11.66666666... - 1.16666666... 9x = 10.5
Step 4: Solve for x: x = 10.5/9 Step 5: Simplify the fraction: 10.5/9 = 21/18 = 7/6
Thus, 1.16666666 can be written as a fraction 7/6.
Important Glossaries for 1.16666666 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 fraction in which a digit or group of digits repeats infinitely.
- Simplifying: The process of reducing a fraction to its simplest form.
- Mixed Number: A whole number and a proper fraction combined, representing a sum.
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