0.04166666667 as a Fraction

Professor Greenline Explaining Math Concepts

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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, 0.04166666667, we are going to learn how to convert a decimal to a fraction.

What is 0.04166666667 as a Fraction?

$0.04166666667 as a fraction$

Answer

The answer for 0.04166666667 as a fraction will be 1/24.

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: Firstly, any decimal number should be converted to fraction for easy calculation. Here, 0.04166666667 is the number on the numerator and the base number 1 will be the denominator. Then, 0.04166666667 becomes 0.04166666667/1.

Step 2: To remove decimal from a fraction, you need to recognize the repeating decimal. Since the decimal 0.04166666667 repeats after the decimal point, we can rewrite it as a fraction using the formula for repeating decimals: x = 0.04166666667... 1000x = 41.66666667... Subtracting these equations: 999x = 41.625 x = 41.625 / 999

Step 3: To simplify this, we find the GCD of 41.625 and 999. Simplifying gives us the fraction: 41.625 / 999 = 1/24 hence, 0.04166666667 is in the form fraction of 1/24.

Thus, 0.04166666667 can be written as a fraction 1/24.

Important Glossaries for 0.04166666667 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.