0.465 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

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Numbers can be categorized into different types. A fraction is one of its kinds. 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, 0.465. We are going to learn how to convert a decimal to a fraction.

What is 0.465 as a Fraction?

$0.465 as a fraction$

Answer

The answer for 0.465 as a fraction will be 93/200.

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, 0.465 is the number on the numerator and the base number 1 will be the denominator. Then, 0.465 becomes 0.465/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000 (because there are only 3 decimal places). 0.465/1 × 1000/1000 = 465/1000

Step 3: Here, 5 is the GCD of 465 and 1000. Now, to make the fraction simpler, divide the numerator and denominator by 5. 465/1000 = 93/200 Hence, 0.465 is in the form of a fraction of 93/200.

Thus, 0.465 can be written as a fraction 93/200.

Important Glossaries for 0.465 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 each of the numbers without a remainder.