Answer: 0.9085 as a fraction is 1817/2000
Converting the decimal number 0.9085 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 0.9085 can be broken down as:
0.9085 = 0 + 0.9085
Here, 0 is the whole number part, and 0.9085 is the decimal part.
Focus on converting the decimal part, 0.9085, to a fraction. To do this, consider the place value of the decimal:
0.9085 =
9085
10000
Now, simplify the fraction 9085/10000. To do this, find the greatest common divisor (GCD) of 9085 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9085 ÷ 5
10000 ÷ 5
=
1817
2000
So, 0.9085 as a fraction is 1817/2000
Now that you have 0.9085 = 0 + 0.9085, express the entire number as a mixed fraction:
0.9085
= 0 +
1817
2000
=
0
2000
+
1817
2000
=
1817
2000
Here, 0/2000 is the whole number 0, and 1817/2000 is the fractional part.
Answer: 0.9085 = 1817/2000
Converting 0.9085 to a fraction results in 1817/2000. 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.