0.459 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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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 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 (.), for example, 0.459. We are going to learn how to convert a decimal to a fraction.

What is 0.459 as a Fraction?

$0.459 as a fraction$

Answer

The answer for 0.459 as a fraction will be 459/1000.

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, 0.459 is the number on the numerator and the base number 1 will be the denominator. Then, 0.459 becomes 0.459/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are 3 decimal places). 0.459/1 × 1000/1000 = 459/1000

Step 3: Here 1 is the GCD of 459 and 1000. Since 459 and 1000 have no common factors other than 1, the fraction is already in its simplest form.

Thus, 0.459 can be written as a fraction 459/1000.

Important Glossaries for 0.459 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.