Answer: 0.8658 as a fraction is 4329/5000
Converting the decimal number 0.8658 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 0.8658 can be broken down as:
0.8658 = 0 + 0.8658
Here, 0 is the whole number part, and 0.8658 is the decimal part.
Focus on converting the decimal part, 0.8658, to a fraction. To do this, consider the place value of the decimal:
0.8658 =
8658
10000
Now, simplify the fraction 8658/10000. To do this, find the greatest common divisor (GCD) of 8658 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8658 ÷ 2
10000 ÷ 2
=
4329
5000
So, 0.8658 as a fraction is 4329/5000
Now that you have 0.8658 = 0 + 0.8658, express the entire number as a mixed fraction:
0.8658
= 0 +
4329
5000
=
0
5000
+
4329
5000
=
4329
5000
Here, 0/5000 is the whole number 0, and 4329/5000 is the fractional part.
Answer: 0.8658 = 4329/5000
Converting 0.8658 to a fraction results in 4329/5000. 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.