0.04166666666 as a Fraction

Answer

The answer for 0.04166666666 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 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.

• 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 sequence 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.