Last updated on May 26th, 2025
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. 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, 0.04166666666, we are going to learn how to convert a decimal to a fraction.
The answer for 0.04166666666 as a fraction will be 1/24.
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 a fraction for easy calculation. Here, 0.04166666666 is the number on the numerator and the base number 1 will be the denominator. Then, 0.04166666666 becomes 0.04166666666/1.
Step 2: Recognize that 0.04166666666 is a repeating decimal. The repeating portion is 4166666666. We represent the repeating part as a fraction. Let ( x = 0.04166666666...). Then, ( 100x = 4.166666666...).
Step 3: Subtract the first equation from the second to remove the repeating part: ( 100x - x = 4.166666666 - 0.04166666666).
Step 4: This simplifies to ( 99x = 4.125). Solving for x gives ( x = 4.125/99).
Step 5: Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 1. Hence, ( 4.125/99 = 1/24).
Thus, 0.04166666666 can be written as a fraction 1/24.