0.171875 as a Fraction

Professor Greenline Explaining Math Concepts

Foundation

Intermediate

Advance Topics

Numbers can be categorized into different types. A fraction is one of these types and 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 can be expressed in decimal form with a decimal point (.), such as 0.171875. We are going to learn how to convert a decimal to a fraction.

What is 0.171875 as a Fraction?

$0.171875 as a fraction$

Answer

The answer for 0.171875 as a fraction will be 11/64.

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, 0.171875 is the number on the numerator and the base number 1 will be the denominator. Then, 0.171875 becomes 0.171875/1.

Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 1000000 (because there are 6 decimal places). 0.171875/1 × 1000000/1000000 = 171875/1000000

Step 3: Here 15625 is the GCD of 171875 and 1000000. Now, to make the fraction simpler, divide the numerator and denominator by 15625. 171875/1000000 = 11/64 Hence, 0.171875 is in the form of a fraction 11/64.

Thus, 0.171875 can be written as a fraction 11/64.

Important Glossaries for 0.171875 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.