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116 LearnersLast updated on March 11th, 2025
57.5 as a Fraction
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. Numbers in decimal are expressed with a decimal point (.), such as 57.5. We are going to learn how to convert a decimal to a fraction.
What is 57.5 as a Fraction?
Answer
The answer for 57.5 as a fraction will be 115/2.
Explanation
Converting a decimal to a fraction is a straightforward task 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, 57.5 is the number on the numerator and the base number 1 will be the denominator. Then, 57.5 becomes 57.5/1.
Step 2: To remove the decimal from the fraction, you need to multiply both the numerator and denominator by 10 (because there is only 1 decimal place). 57.5/1 × 10/10 = 575/10
Step 3: Simplify the fraction by finding the greatest common divisor (GCD) of 575 and 10. The GCD is 5. Now, divide the numerator and denominator by 5 to make the fraction simpler. 575/10 = 115/2
Thus, 57.5 can be written as a fraction 115/2.
Important Glossaries for 57.5 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.
- Simplification: The process of reducing a fraction to its simplest form using the greatest common divisor.
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