Answer: 0.8657 as a fraction is 8657/10000
Converting the decimal number 0.8657 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 0.8657 can be broken down as:
0.8657 = 0 + 0.8657
Here, 0 is the whole number part, and 0.8657 is the decimal part.
Focus on converting the decimal part, 0.8657, to a fraction. To do this, consider the place value of the decimal:
0.8657 =
8657
10000
Now, simplify the fraction 8657/10000. To do this, find the greatest common divisor (GCD) of 8657 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8657 ÷ 1
10000 ÷ 1
=
8657
10000
So, 0.8657 as a fraction is 8657/10000
Now that you have 0.8657 = 0 + 0.8657, express the entire number as a mixed fraction:
0.8657
= 0 +
8657
10000
=
0
10000
+
8657
10000
=
8657
10000
Here, 0/10000 is the whole number 0, and 8657/10000 is the fractional part.
Answer: 0.8657 = 8657/10000
Converting 0.8657 to a fraction results in 8657/10000. 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.