Answer: 0.8643 as a fraction is 8643/10000
Converting the decimal number 0.8643 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 0.8643 can be broken down as:
0.8643 = 0 + 0.8643
Here, 0 is the whole number part, and 0.8643 is the decimal part.
Focus on converting the decimal part, 0.8643, to a fraction. To do this, consider the place value of the decimal:
0.8643 =
8643
10000
Now, simplify the fraction 8643/10000. To do this, find the greatest common divisor (GCD) of 8643 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8643 ÷ 1
10000 ÷ 1
=
8643
10000
So, 0.8643 as a fraction is 8643/10000
Now that you have 0.8643 = 0 + 0.8643, express the entire number as a mixed fraction:
0.8643
= 0 +
8643
10000
=
0
10000
+
8643
10000
=
8643
10000
Here, 0/10000 is the whole number 0, and 8643/10000 is the fractional part.
Answer: 0.8643 = 8643/10000
Converting 0.8643 to a fraction results in 8643/10000. 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.