0.163 as a Fraction

Professor Greenline Explaining Math Concepts

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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 (.), For example, 0.163, we are going to learn how to convert a decimal to a fraction.

What is 0.163 as a Fraction?

$0.163 as a fraction$

Answer

The answer for 0.163 as a fraction will be 163/1000.

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, 0.163 is the number on the numerator, and the base number 1 will be the denominator. Then, 0.163 becomes 0.163/1.

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). 0.163/1 × 1000/1000 = 163/1000

Step 3: Here, the GCD of 163 and 1000 is 1. Since they have no common factors other than 1, the fraction is already in its simplest form. Therefore, 0.163 is in the form of the fraction 163/1000.

Thus, 0.163 can be written as a fraction 163/1000.

Important Glossaries for 0.163 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.
Simplest Form: A fraction in which the numerator and denominator have no common factors other than 1.