Answer: 0.8664 as a fraction is 1083/1250
Converting the decimal number 0.8664 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 0.8664 can be broken down as:
0.8664 = 0 + 0.8664
Here, 0 is the whole number part, and 0.8664 is the decimal part.
Focus on converting the decimal part, 0.8664, to a fraction. To do this, consider the place value of the decimal:
0.8664 =
8664
10000
Now, simplify the fraction 8664/10000. To do this, find the greatest common divisor (GCD) of 8664 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8664 ÷ 8
10000 ÷ 8
=
1083
1250
So, 0.8664 as a fraction is 1083/1250
Now that you have 0.8664 = 0 + 0.8664, express the entire number as a mixed fraction:
0.8664
= 0 +
1083
1250
=
0
1250
+
1083
1250
=
1083
1250
Here, 0/1250 is the whole number 0, and 1083/1250 is the fractional part.
Answer: 0.8664 = 1083/1250
Converting 0.8664 to a fraction results in 1083/1250. 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.