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120 LearnersLast updated on March 6th, 2025
1.666666667 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. Fractions represent 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, 1.666666667, we are going to learn how to convert a decimal to a fraction.
What is 1.666666667 as a Fraction?
Answer
The answer for 1.666666667 as a fraction will be 5/3.
Explanation
Converting a repeating decimal to a fraction is a task that can be done with a systematic approach. You can follow the steps mentioned below to find the answer.
Step 1: Let x = 1.666666667. Notice that the '6' repeats infinitely.
Step 2: Multiply x by 10 to move the decimal point one place to the right: 10x = 16.66666667.
Step 3: Subtract the original x from this equation: 10x - x = 16.66666667 - 1.666666667 This simplifies to: 9x = 15
Step 4: Solve for x by dividing both sides by 9: x = 15/9
Step 5: Simplify the fraction by finding the GCD of 15 and 9, which is 3. Thus, 15/9 simplifies to 5/3.
Therefore, 1.666666667 can be written as a fraction 5/3.
Important Glossaries for 1.666666667 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 or sequences of digits after the decimal point.
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