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104 LearnersLast updated on March 28th, 2025
21.3125 as a Fraction
Numbers can be categorized into different types. Fraction is one of its kind. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents both a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2 is a fraction, while decimals are expressed with a decimal point (e.g., 0.75). In this section, we are going to learn how to convert a decimal to a fraction using 21.3125 as an example.
What is 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.
Important Glossaries for 21.3125 as a Fraction
- 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.
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