Answer: 0.9082 as a fraction is 4541/5000
Converting the decimal number 0.9082 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 0.9082 can be broken down as:
0.9082 = 0 + 0.9082
Here, 0 is the whole number part, and 0.9082 is the decimal part.
Focus on converting the decimal part, 0.9082, to a fraction. To do this, consider the place value of the decimal:
0.9082 =
9082
10000
Now, simplify the fraction 9082/10000. To do this, find the greatest common divisor (GCD) of 9082 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9082 ÷ 2
10000 ÷ 2
=
4541
5000
So, 0.9082 as a fraction is 4541/5000
Now that you have 0.9082 = 0 + 0.9082, express the entire number as a mixed fraction:
0.9082
= 0 +
4541
5000
=
0
5000
+
4541
5000
=
4541
5000
Here, 0/5000 is the whole number 0, and 4541/5000 is the fractional part.
Answer: 0.9082 = 4541/5000
Converting 0.9082 to a fraction results in 4541/5000. 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.