.375 as a Fraction Calculator in Simplest Form
Introduction
In this article, we will explore how to convert the decimal number .375 into a fraction in its simplest form. We will also discuss the step-by-step process of converting decimals to fractions and provide a brief explanation of the concept of simplest form.
Converting .375 to a Fraction
To convert .375 to a fraction, we can use the following method:
- Divide the decimal by 1:
.375 ÷ 1 = .375
- Count the number of decimal places:
.375 has 3 decimal places
- Multiply the decimal by 10^3 (10 to the power of 3):
.375 × 10^3 = .375 × 1000 = 375
- Write the result as a fraction:
375/1000
Simplifying the Fraction
To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator (375) and the denominator (1000).
Using the Euclidean algorithm, we can find the GCD:
GCD(375, 1000) = 125
Now, divide both the numerator and the denominator by the GCD:
375 ÷ 125 = 3
1000 ÷ 125 = 8
The simplified fraction is:
**3/8**
Conclusion
In conclusion, .375 as a fraction in simplest form is 3/8. By following the steps outlined above, you can convert any decimal to a fraction in its simplest form. Remember to always find the greatest common divisor to simplify the fraction.
Remember
- Converting decimals to fractions involves dividing the decimal by 1, counting the number of decimal places, and multiplying by 10^n (where n is the number of decimal places).
- Simplifying fractions involves finding the greatest common divisor and dividing both the numerator and denominator by the GCD.
I hope this article helps you understand how to convert .375 to a fraction in simplest form!
