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124 LearnersLast updated on March 10th, 2025
1.666666666666 as a Fraction
Numbers can be categorized into different types. Fractions are one of these types. A fraction is always represented in the form of p/q, where p is the numerator and q is the denominator. Fractions represent a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2. Numbers in decimal form are expressed with a decimal point (.), for example, 1.666666666666. We are going to learn how to convert a repeating decimal to a fraction.
What is 1.666666666666 as a Fraction?
Answer:
The answer for 1.666666666666 as a fraction will be 5/3.
Explanation:
Converting a repeating decimal to a fraction involves a straightforward process. Follow the steps below to find the answer.
Step 1: Let x = 1.666666666666...
Step 2: Since the decimal repeats every 6, multiply both sides of the equation by 10 to shift the decimal point to the right by one place. 10x = 16.66666666666...
Step 3: Subtract the original equation (Step 1) from this new equation (Step 2) to eliminate the repeating part. 10x - x = 16.66666666666 - 1.666666666666 9x = 15
Step 4: Solve for x by dividing both sides by 9. x = 15/9
Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 3. 15/9 = 5/3
Thus, 1.666666666666 can be written as the fraction 5/3.
Important Glossaries for 1.666666666666 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 in which a digit or group of digits repeats infinitely.
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