0.171 as a Fraction

Professor Greenline Explaining Math Concepts

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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. Fraction represents a whole and a fractional part. Decimals represent the fractional part of numbers. For example, 1/2; numbers in decimal are expressed with a decimal point (.), For example, 0.171. We are going to learn how to convert a decimal to a fraction.

What is 0.171 as a Fraction?

$0.171 as a fraction$

Answer

The answer for 0.171 as a fraction is 171/1000.

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, 0.171 is the number on the numerator and the base number 1 will be the denominator. Then, 0.171 becomes 0.171/1.

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). 0.171/1 × 1000/1000 = 171/1000

Step 3: Check if the fraction can be simplified. Here, 171 and 1000 do not have any common factors other than 1, so it is already in its simplest form.

Thus, 0.171 can be written as a fraction 171/1000.

Important Glossaries for 0.171 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 is in its simplest form when the numerator and denominator are reduced to their smallest possible values while still being whole numbers.