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110 LearnersLast updated on March 11th, 2025
40.375 as a Fraction
Numbers can be categorized into different types. Fractions are one such type, 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, 40.375 is a decimal that we are going to learn how to convert into a fraction.
What is 40.375 as a Fraction?
Answer
The answer for 40.375 as a fraction is 40 3/8.
Explanation
Converting a decimal to a fraction is a 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 separated into its whole and decimal parts. Here, the whole number is 40 and the decimal part is 0.375. We will convert 0.375 to a fraction first.
Step 2: Convert 0.375 to a fraction by writing it as 0.375/1. To eliminate the decimal, multiply both the numerator and denominator by 1000 (since there are 3 decimal places). 0.375/1 × 1000/1000 = 375/1000
Step 3: The greatest common divisor (GCD) of 375 and 1000 is 125. Simplify the fraction by dividing both the numerator and denominator by 125. 375/1000 = 3/8
Step 4: Combine the whole number with the fraction. Thus, 40.375 can be written as 40 3/8.
Hence, 40.375 is equivalent to the mixed fraction 40 3/8.
Important Glossaries for 40.375 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.
- Mixed Fraction: A whole number combined with a fraction, representing a sum of a whole and a part.
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