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112 LearnersLast updated on March 7th, 2025
0.115 as a Fraction
Numbers can be categorized into different types. 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, 0.115. We are going to learn how to convert a decimal to a fraction.
What is 0.115 as a Fraction?
Answer
The answer for 0.115 as a fraction will be 23/200.
Explanation
Converting a decimal to a fraction is a task that can be done easily by following these steps.
Step 1: Firstly, express the decimal number as a fraction with the number as the numerator and 1 as the denominator. So, 0.115 becomes 0.115/1.
Step 2: To remove the decimal, multiply both the numerator and the denominator by 1000 (since there are three decimal places). 0.115/1 × 1000/1000 = 115/1000
Step 3: Find the Greatest Common Divisor (GCD) of 115 and 1000, which is 5. Divide both the numerator and the denominator by the GCD to simplify the fraction. 115/1000 = 23/200
Thus, 0.115 can be written as the fraction 23/200.
Important Glossaries for 0.115 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 the numbers without a remainder, used to simplify fractions.
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