Table Of Contents
112 LearnersLast updated on March 11th, 2025
1.66666666667 as a Fraction
Numbers can be categorized into different types. A fraction is one such type. 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 in fraction form or a decimal like 1.66666666667, we are going to learn how to convert a decimal to a fraction.
What is 1.66666666667 as a Fraction?
Answer
The answer for 1.66666666667 as a fraction will be 5/3.
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: Recognize that the decimal 1.66666666667 is a repeating decimal. This can be expressed as 1 + 0.66666666667.
Step 2: Let x = 0.66666666667..., a repeating decimal. Multiply x by 10 to shift the decimal point: 10x = 6.66666666667...
Step 3: Subtract the original x from the equation: 10x - x = 6.66666666667... - 0.66666666667... = 6. Thus, 9x = 6.
Step 4: Solve for x: x = 6/9. Simplify the fraction: x = 2/3.
Step 5: Now, add 1 (the whole number part of the original decimal) to 2/3: 1 + 2/3 = 3/3 + 2/3 = 5/3.
Thus, 1.66666666667 can be written as the fraction 5/3.
Important Glossaries for 1.66666666667 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.
Explore More math-questions
Previous to 1.66666666667 as a Fraction
