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116 LearnersLast updated on March 9th, 2025
5.1875 as a Fraction
Numbers can be categorized into different types. A 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, 5.1875. We are going to learn how to convert a decimal to a fraction.
What is 5.1875 as a Fraction?
Answer
The answer for 5.1875 as a fraction will be 83/16.
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, 5.1875 is the number on the numerator and the base number 1 will be the denominator. Then, 5.1875 becomes 5.1875/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and denominator by 10000 (because there are 4 decimal places). 5.1875/1 × 10000/10000 = 51875/10000
Step 3: Here 125 is the GCD of 51875 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 125. 51875/10000 = 415/800 Then, simplify further by dividing both by 5. 415/800 = 83/160
Thus, 5.1875 can be written as a fraction 83/160.
Important Glossaries for 5.1875 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.
- Terminating Decimal: A decimal that ends and does not repeat infinitely.
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