0.110 as a Fraction

Professor Greenline Explaining Math Concepts

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Intermediate

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Numbers can be categorized into different types. A fraction is one such type, represented in the form of p/q, where p is the numerator and q is the denominator. A fraction can represent both a whole and a fractional part. Decimals express the fractional part of numbers. For example, 1/2, while numbers in decimal form are expressed with a decimal point (.), such as 0.110. In this document, we are going to learn how to convert a decimal to a fraction.

What is 0.110 as a Fraction?

$0.110 as a fraction$

Answer

The answer for 0.110 as a fraction is 11/100.

Explanation

Converting a decimal to a fraction is straightforward for students. You can follow the steps mentioned below to find the answer.

Step 1: Convert the decimal number to a fraction for easy calculation. Here, 0.110 is the number with the numerator as 0.110 and the denominator as 1. Thus, 0.110 becomes 0.110/1.

Step 2: To eliminate the decimal, multiply both the numerator and denominator by 1000 (since there are 3 decimal places). 0.110/1 × 1000/1000 = 110/1000

Step 3: Here, 10 is the GCD of 110 and 1000. To simplify the fraction, divide both the numerator and denominator by 10. 110/1000 = 11/100 Therefore, 0.110 in fractional form is 11/100.

Thus, 0.110 can be written as a fraction 11/100.

Important Glossaries for 0.110 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 integers without leaving a remainder, used to simplify fractions.