Answer: 0.8644 as a fraction is 2161/2500
Converting the decimal number 0.8644 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 0.8644 can be broken down as:
0.8644 = 0 + 0.8644
Here, 0 is the whole number part, and 0.8644 is the decimal part.
Focus on converting the decimal part, 0.8644, to a fraction. To do this, consider the place value of the decimal:
0.8644 =
8644
10000
Now, simplify the fraction 8644/10000. To do this, find the greatest common divisor (GCD) of 8644 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8644 ÷ 4
10000 ÷ 4
=
2161
2500
So, 0.8644 as a fraction is 2161/2500
Now that you have 0.8644 = 0 + 0.8644, express the entire number as a mixed fraction:
0.8644
= 0 +
2161
2500
=
0
2500
+
2161
2500
=
2161
2500
Here, 0/2500 is the whole number 0, and 2161/2500 is the fractional part.
Answer: 0.8644 = 2161/2500
Converting 0.8644 to a fraction results in 2161/2500. 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.