Answer: 0.8646 as a fraction is 4323/5000
Converting the decimal number 0.8646 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 0.8646 can be broken down as:
0.8646 = 0 + 0.8646
Here, 0 is the whole number part, and 0.8646 is the decimal part.
Focus on converting the decimal part, 0.8646, to a fraction. To do this, consider the place value of the decimal:
0.8646 =
8646
10000
Now, simplify the fraction 8646/10000. To do this, find the greatest common divisor (GCD) of 8646 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8646 ÷ 2
10000 ÷ 2
=
4323
5000
So, 0.8646 as a fraction is 4323/5000
Now that you have 0.8646 = 0 + 0.8646, express the entire number as a mixed fraction:
0.8646
= 0 +
4323
5000
=
0
5000
+
4323
5000
=
4323
5000
Here, 0/5000 is the whole number 0, and 4323/5000 is the fractional part.
Answer: 0.8646 = 4323/5000
Converting 0.8646 to a fraction results in 4323/5000. 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.