Converting 0.15 kilograms to a Fraction in Simplest Form
When we have a decimal value, such as 0.15 kilograms, it can be helpful to convert it into a fraction to better understand the ratio of the value. In this article, we'll explore how to convert 0.15 kilograms to a fraction in its simplest form.
Converting the Decimal to a Fraction
To convert 0.15 to a fraction, we can use the following steps:
- Write the decimal as a fraction with a denominator of 1: 0.15 = 0.15/1
- Multiply both the numerator and denominator by 100: 0.15/1 = (0.15 × 100)/(1 × 100) = 15/100
Simplifying the Fraction
Now that we have the fraction 15/100, we can simplify it by dividing both the numerator and denominator by their greatest common divisor (GCD).
Finding the Greatest Common Divisor (GCD)
To simplify the fraction, we need to find the GCD of 15 and 100.
The factors of 15 are: 1, 3, 5, and 15 The factors of 100 are: 1, 2, 4, 5, 10, 20, 25, 50, and 100
The GCD of 15 and 100 is 5.
Simplifying the Fraction by Dividing by the GCD
Now that we have the GCD, we can simplify the fraction by dividing both the numerator and denominator by 5:
15 ÷ 5 = 3 100 ÷ 5 = 20
So, the simplified fraction is: 3/20
Conclusion
In conclusion, 0.15 kilograms is equal to the fraction 3/20 in its simplest form. By following these steps, we can convert any decimal value to a fraction and simplify it to its most basic form.
