2.828 as a Fraction

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Numbers can be categorized into different types. A fraction is one such type. It is always represented in the form of p/q, where p is the numerator and q is the denominator. A fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2; the numbers in decimal are expressed with a decimal point (e.g., 0.375). Here, we are going to learn how to convert a decimal to a fraction using 2.828.

What is 2.828 as a Fraction?

$2.828 as a fraction$

Answer

The answer for 2.828 as a fraction is 707/250.

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, 2.828 is the number on the numerator, and the base number 1 will be the denominator. Then, 2.828 becomes 2.828/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are three decimal places). 2.828/1 × 1000/1000 = 2828/1000

Step 3: Here, 4 is the GCD of 2828 and 1000. To simplify the fraction, divide the numerator and denominator by 4. 2828/1000 = 707/250 Hence, 2.828 is in the fractional form of 707/250.

Thus, 2.828 can be written as a fraction 707/250.

Important Glossaries for 2.828 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.
Simplification: The process of reducing a fraction to its simplest form.