Answer: 0.8685 as a fraction is 1737/2000
Converting the decimal number 0.8685 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 0.8685 can be broken down as:
0.8685 = 0 + 0.8685
Here, 0 is the whole number part, and 0.8685 is the decimal part.
Focus on converting the decimal part, 0.8685, to a fraction. To do this, consider the place value of the decimal:
0.8685 =
8685
10000
Now, simplify the fraction 8685/10000. To do this, find the greatest common divisor (GCD) of 8685 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8685 ÷ 5
10000 ÷ 5
=
1737
2000
So, 0.8685 as a fraction is 1737/2000
Now that you have 0.8685 = 0 + 0.8685, express the entire number as a mixed fraction:
0.8685
= 0 +
1737
2000
=
0
2000
+
1737
2000
=
1737
2000
Here, 0/2000 is the whole number 0, and 1737/2000 is the fractional part.
Answer: 0.8685 = 1737/2000
Converting 0.8685 to a fraction results in 1737/2000. 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.