0.23809523809 as a Fraction

Answer

The answer for 0.23809523809 as a fraction is 5/21.

Explanation

Converting a decimal to a fraction is a straightforward task for students. 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, 0.23809523809 is the number on the numerator, and the base number 1 will be the denominator. Then, 0.23809523809 becomes 0.23809523809/1.

Step 2: To remove the decimal from a fraction, identify the repeating cycle. In this case, the repeating part is '238095', which is 6 digits long. Therefore, multiply both the numerator and the denominator by 10^6 to shift the decimal point. 0.23809523809/1 × 1000000/1000000 = 238095/1000000

Step 3: Now, simplify the fraction by finding the greatest common divisor (GCD) of 238095 and 1000000, which is 47619. Then divide the numerator and denominator by the GCD. 238095/1000000 = 5/21

Hence, 0.23809523809 can be expressed as the fraction 5/21.

• 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.

• 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.

• Repeating Decimal: A decimal in which a digit or group of digits repeats infinitely.