Table Of Contents
116 LearnersLast updated on March 7th, 2025
9.66666666667 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, 9.66666666667, we are going to learn how to convert a decimal to a fraction.
What is 9.66666666667 as a Fraction?
Answer
The answer for 9.66666666667 as a fraction is 29/3.
Explanation
Converting a repeating decimal to a fraction is a task that can be done by following these steps:
Step 1: Let x equal the repeating decimal. Here, x = 9.66666666667.
Step 2: Multiply x by a power of 10 that shifts the decimal point to the right so that the repeating part aligns. Since the decimal 6 repeats, multiply by 10 to get 10x = 96.6666666667.
Step 3: Subtract the original equation (x = 9.66666666667) from this new equation: 10x - x = 96.6666666667 - 9.66666666667 9x = 87
Step 4: Solve for x: x = 87/9 x = 29/3
Thus, 9.66666666667 can be written as the fraction 29/3.
Important Glossaries for 9.66666666667 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.
- Repeating Decimal: A decimal in which a digit or group of digits repeats 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.
Explore More math-questions
Previous to 9.66666666667 as a Fraction
