4.0.16 as a Fraction in Simplest Form
When dealing with decimal numbers, it's often necessary to convert them into fractions in simplest form. In this article, we'll explore how to convert 4.0.16 into a fraction in its simplest form.
What is 4.0.16?
Before we dive into the conversion process, let's quickly understand what 4.0.16 represents. The number 4.0.16 is a mixed decimal number, comprising a whole number part (4), a decimal part (0), and a fractional part (0.16).
Converting 0.16 to a Fraction
To convert the fractional part (0.16) into a fraction, we can divide the numerator (16) by the denominator (100):
0.16 = 16/100
Now, let's simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4:
16 ÷ 4 = 4 100 ÷ 4 = 25
So, the simplified fraction is:
0.16 = 4/25
Combining the Whole Number and Fractional Parts
Now that we have the fractional part in simplest form, let's combine it with the whole number part (4):
4 + 4/25
Simplified Form
The final answer is:
4.0.16 = 4 4/25
There you have it! We've successfully converted 4.0.16 into a fraction in its simplest form, which is 4 4/25.
