Answer: 0.8016 as a fraction is 501/625
Converting the decimal number 0.8016 into a fraction might seem tricky at first, but with the right steps, it's straightforward. This guide will walk you through the entire process, ensuring you understand each part of the conversion.
The decimal 0.8016 can be broken down as:
0.8016 = 0 + 0.8016
Here, 0 is the whole number part, and 0.8016 is the decimal part.
Focus on converting the decimal part, 0.8016, to a fraction. To do this, consider the place value of the decimal:
0.8016 =
8016
10000
Now, simplify the fraction 8016/10000. To do this, find the greatest common divisor (GCD) of 8016 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8016 ÷ 16
10000 ÷ 16
=
501
625
So, 0.8016 as a fraction is 501/625
Now that you have 0.8016 = 0 + 0.8016, express the entire number as a mixed fraction:
0.8016
= 0 +
501
625
=
0
625
+
501
625
=
501
625
Here, 0/625 is the whole number 0, and 501/625 is the fractional part.
Answer: 0.8016 = 501/625
Converting 0.8016 to a fraction results in 501/625. This detailed process of breaking down the decimal, converting it, simplifying, and then combining the parts gives you a clear understanding of how to handle such conversions in math, everyday calculations, or even complex problem-solving.