20.8333 as a Fraction

Answer

The answer for 20.8333 as a fraction is 625/30, which simplifies to 125/6.

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, 20.8333 is the number on the numerator, and the base number 1 will be the denominator. So, 20.8333 becomes 20.8333/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 10000 (because there are four decimal places). 20.8333/1 × 10000/10000 = 208333/10000

Step 3: Here, 250 is the GCD of 208333 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 250. 208333/10000 = 833/40

Step 4: Upon further simplification, 833/40 does not simplify further as it is in its simplest form.

Thus, 20.8333 can be written as the fraction 833/40.

• 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 one or more digits repeat infinitely.