105 LearnersLast updated on May 26th, 2025
41.6666666667 as a Fraction
Numbers can be categorized into different types. A fraction is one such type and is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a part of a whole. Decimals represent the fractional part of numbers. For example, numbers in decimal form are expressed with a decimal point (.), such as 41.6666666667. We are going to learn how to convert a decimal to a fraction.
What is 41.6666666667 as a Fraction?
Answer
The answer for 41.6666666667 as a fraction is 125/3.
Explanation
Converting a decimal to a fraction is a straightforward process. Follow the steps mentioned below to find the answer.
Step 1: Recognize that 41.6666666667 is a repeating decimal. Let x = 41.6666666667...
Step 2: Multiply x by 10 to move the decimal point one place to the right, giving us 10x = 416.666666667...
Step 3: Subtract the original x from this equation: 10x - x = 416.666666667 - 41.666666667 9x = 375
Step 4: Solve for x by dividing both sides by 9: x = 375/9
Step 5: Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 3: 375/9 = 125/3
Therefore, 41.6666666667 can be written as the fraction 125/3.
Important Glossaries for 41.6666666667 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 number where one or more digits repeat 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.
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