Answer: 0.8662 as a fraction is 4331/5000
Converting the decimal number 0.8662 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 0.8662 can be broken down as:
0.8662 = 0 + 0.8662
Here, 0 is the whole number part, and 0.8662 is the decimal part.
Focus on converting the decimal part, 0.8662, to a fraction. To do this, consider the place value of the decimal:
0.8662 =
8662
10000
Now, simplify the fraction 8662/10000. To do this, find the greatest common divisor (GCD) of 8662 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8662 ÷ 2
10000 ÷ 2
=
4331
5000
So, 0.8662 as a fraction is 4331/5000
Now that you have 0.8662 = 0 + 0.8662, express the entire number as a mixed fraction:
0.8662
= 0 +
4331
5000
=
0
5000
+
4331
5000
=
4331
5000
Here, 0/5000 is the whole number 0, and 4331/5000 is the fractional part.
Answer: 0.8662 = 4331/5000
Converting 0.8662 to a fraction results in 4331/5000. 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.