21.3125 as a Fraction

Answer

The answer for 21.3125 as a fraction is 341/16.

Explanation

Converting a decimal to a fraction is straightforward. You can follow the steps mentioned below to find the answer.

Step 1: Firstly, convert the decimal number to a fraction for easy calculation. Here, 21.3125 is the number, so it is initially represented as 21.3125/1.

Step 2: To remove the decimal from the fraction, multiply both the numerator and the denominator by 10000 (because there are 4 decimal places). 21.3125/1 × 10000/10000 = 213125/10000

Step 3: The greatest common divisor (GCD) of 213125 and 10000 is 625. To simplify the fraction, divide both the numerator and the denominator by 625. 213125/10000 = (213125 ÷ 625) / (10000 ÷ 625) = 341/16

Thus, 21.3125 can be written as a fraction 341/16.

• 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.

• Greatest Common Divisor (GCD): The largest positive integer that divides the numbers without a remainder, used to simplify fractions.