Answer: 0.8652 as a fraction is 2163/2500
Converting the decimal number 0.8652 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 0.8652 can be broken down as:
0.8652 = 0 + 0.8652
Here, 0 is the whole number part, and 0.8652 is the decimal part.
Focus on converting the decimal part, 0.8652, to a fraction. To do this, consider the place value of the decimal:
0.8652 =
8652
10000
Now, simplify the fraction 8652/10000. To do this, find the greatest common divisor (GCD) of 8652 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8652 ÷ 4
10000 ÷ 4
=
2163
2500
So, 0.8652 as a fraction is 2163/2500
Now that you have 0.8652 = 0 + 0.8652, express the entire number as a mixed fraction:
0.8652
= 0 +
2163
2500
=
0
2500
+
2163
2500
=
2163
2500
Here, 0/2500 is the whole number 0, and 2163/2500 is the fractional part.
Answer: 0.8652 = 2163/2500
Converting 0.8652 to a fraction results in 2163/2500. 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.