.128 as a Fraction
Have you ever wondered what the decimal number .128 looks like as a fraction? In this article, we will explore the equivalent fraction of .128 and provide a step-by-step guide on how to convert it.
What is .128 as a Fraction?
The decimal number .128 can be written as a fraction in its simplest form as:
.128 = 32/250
This fraction is in its simplest form, meaning that the numerator (32) and the denominator (250) have no common factors other than 1.
How to Convert .128 to a Fraction
Converting a decimal number to a fraction is a simple process. Here's how to do it:
Step 1: Divide the Decimal by the Place Value
Divide the decimal number .128 by 1000 (since it has three decimal places).
.128 ÷ 1000 = 128/1000
Step 2: Simplify the Fraction
Simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD).
GCD of 128 and 1000 is 8
128 ÷ 8 = 16 1000 ÷ 8 = 125
So, the simplified fraction is:
16/125
Step 3: Find the Equivalent Fraction
To find the equivalent fraction, we can multiply both the numerator and the denominator by 2:
16 × 2 = 32 125 × 2 = 250
And that's it! We have our equivalent fraction:
.128 = 32/250
Conclusion
In conclusion, the decimal number .128 can be written as a fraction in its simplest form as 32/250. By following the simple steps outlined above, you can convert any decimal number to a fraction. Remember to always simplify your fractions to their simplest form to make them easier to work with.
