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119 LearnersLast updated on March 5th, 2025
10.4375 as a Fraction
Numbers can be categorized into different types. Fraction is one of its kind. 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 form are expressed with a decimal point (.), such as 10.4375. We are going to learn how to convert a decimal to a fraction.
What is 10.4375 as a Fraction?
Answer:
The answer for 10.4375 as a fraction will be 167/16.
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, 10.4375 is the number, which becomes 10.4375/1.
Step 2: To remove the decimal from a fraction, you need to multiply both the numerator and the denominator by 10000 (because there are 4 decimal places). 10.4375/1 × 10000/10000 = 104375/10000
Step 3: Here, 625 is the GCD of 104375 and 10000. Now, to make the fraction simpler, divide the numerator and denominator by 625. 104375/10000 = 167/16 Hence, 10.4375 is in the form of a fraction as 167/16.
Thus, 10.4375 can be written as a fraction 167/16.
Important Glossaries for 10.4375 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 two numbers without leaving a remainder.
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