Answer: 0.9084 as a fraction is 2271/2500
Converting the decimal number 0.9084 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 0.9084 can be broken down as:
0.9084 = 0 + 0.9084
Here, 0 is the whole number part, and 0.9084 is the decimal part.
Focus on converting the decimal part, 0.9084, to a fraction. To do this, consider the place value of the decimal:
0.9084 =
9084
10000
Now, simplify the fraction 9084/10000. To do this, find the greatest common divisor (GCD) of 9084 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9084 ÷ 4
10000 ÷ 4
=
2271
2500
So, 0.9084 as a fraction is 2271/2500
Now that you have 0.9084 = 0 + 0.9084, express the entire number as a mixed fraction:
0.9084
= 0 +
2271
2500
=
0
2500
+
2271
2500
=
2271
2500
Here, 0/2500 is the whole number 0, and 2271/2500 is the fractional part.
Answer: 0.9084 = 2271/2500
Converting 0.9084 to a fraction results in 2271/2500. 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.