.375 as a Fraction
Have you ever wondered what the decimal .375 looks like as a fraction? Well, wonder no more! In this article, we'll explore the conversion of .375 to a fraction and provide a step-by-step guide on how to do it.
The Conversion
To convert .375 to a fraction, we can use the following steps:
- Write the decimal as a fraction: Start by writing the decimal as a fraction with the decimal as the numerator and 1 as the denominator:
.375 = 375/1000
- Simplify the fraction: Next, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD). The GCD of 375 and 1000 is 25, so we can divide both numbers by 25:
375 ÷ 25 = 15 1000 ÷ 25 = 40
So, the simplified fraction is:
.375 = 15/40
- Further simplify the fraction: We can further simplify the fraction by dividing both numbers by their GCD again. The GCD of 15 and 40 is 5, so we can divide both numbers by 5:
15 ÷ 5 = 3 40 ÷ 5 = 8
So, the final simplified fraction is:
.375 = 3/8
Conclusion
And there you have it! The decimal .375 is equal to the fraction 3/8. By following these simple steps, you can convert any decimal to a fraction and simplify it to its most basic form.
