Answer: 0.8697 as a fraction is 8697/10000
Converting the decimal number 0.8697 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 0.8697 can be broken down as:
0.8697 = 0 + 0.8697
Here, 0 is the whole number part, and 0.8697 is the decimal part.
Focus on converting the decimal part, 0.8697, to a fraction. To do this, consider the place value of the decimal:
0.8697 =
8697
10000
Now, simplify the fraction 8697/10000. To do this, find the greatest common divisor (GCD) of 8697 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8697 ÷ 1
10000 ÷ 1
=
8697
10000
So, 0.8697 as a fraction is 8697/10000
Now that you have 0.8697 = 0 + 0.8697, express the entire number as a mixed fraction:
0.8697
= 0 +
8697
10000
=
0
10000
+
8697
10000
=
8697
10000
Here, 0/10000 is the whole number 0, and 8697/10000 is the fractional part.
Answer: 0.8697 = 8697/10000
Converting 0.8697 to a fraction results in 8697/10000. 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.