Answer: 0.8688 as a fraction is 543/625
Converting the decimal number 0.8688 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 0.8688 can be broken down as:
0.8688 = 0 + 0.8688
Here, 0 is the whole number part, and 0.8688 is the decimal part.
Focus on converting the decimal part, 0.8688, to a fraction. To do this, consider the place value of the decimal:
0.8688 =
8688
10000
Now, simplify the fraction 8688/10000. To do this, find the greatest common divisor (GCD) of 8688 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8688 ÷ 16
10000 ÷ 16
=
543
625
So, 0.8688 as a fraction is 543/625
Now that you have 0.8688 = 0 + 0.8688, express the entire number as a mixed fraction:
0.8688
= 0 +
543
625
=
0
625
+
543
625
=
543
625
Here, 0/625 is the whole number 0, and 543/625 is the fractional part.
Answer: 0.8688 = 543/625
Converting 0.8688 to a fraction results in 543/625. 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.