Answer: 0.8647 as a fraction is 8647/10000
Converting the decimal number 0.8647 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 0.8647 can be broken down as:
0.8647 = 0 + 0.8647
Here, 0 is the whole number part, and 0.8647 is the decimal part.
Focus on converting the decimal part, 0.8647, to a fraction. To do this, consider the place value of the decimal:
0.8647 =
8647
10000
Now, simplify the fraction 8647/10000. To do this, find the greatest common divisor (GCD) of 8647 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8647 ÷ 1
10000 ÷ 1
=
8647
10000
So, 0.8647 as a fraction is 8647/10000
Now that you have 0.8647 = 0 + 0.8647, express the entire number as a mixed fraction:
0.8647
= 0 +
8647
10000
=
0
10000
+
8647
10000
=
8647
10000
Here, 0/10000 is the whole number 0, and 8647/10000 is the fractional part.
Answer: 0.8647 = 8647/10000
Converting 0.8647 to a fraction results in 8647/10000. 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.