Converting .375 to a Mixed Fraction
In this article, we will explore how to convert the decimal number .375 to a mixed fraction.
What is a Mixed Fraction?
A mixed fraction, also known as a mixed number, is a combination of a whole number and a proper fraction. It is a way to express a value that is greater than one whole unit, but not a whole number. For example, 2 1/2 or 3 3/4 are mixed fractions.
Converting .375 to a Mixed Fraction
To convert .375 to a mixed fraction, we need to follow these steps:
Step 1: Convert .375 to an Improper Fraction
An improper fraction is a fraction where the numerator is greater than or equal to the denominator. We can convert .375 to an improper fraction by multiplying both the numerator and the denominator by 1000 (since there are three decimal places in .375).
.375 = 375/1000
Step 2: Simplify the Improper Fraction
We can simplify the improper fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
GCD of 375 and 1000 = 125
So, we can simplify the fraction as follows:
375 ÷ 125 = 3 1000 ÷ 125 = 8
Now, we have:
.375 = 3/8
Step 3: Convert the Improper Fraction to a Mixed Fraction
Since 3 is less than 8, we do not need to convert the improper fraction to a mixed fraction. The resulting mixed fraction is:
.375 = 3/8
Conclusion
In conclusion, we have successfully converted the decimal number .375 to a mixed fraction, which is 3/8. This conversion is useful in various mathematical applications, such as fractions, decimals, and percentages.
