Answer: 0.9054 as a fraction is 4527/5000
Converting the decimal number 0.9054 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 0.9054 can be broken down as:
0.9054 = 0 + 0.9054
Here, 0 is the whole number part, and 0.9054 is the decimal part.
Focus on converting the decimal part, 0.9054, to a fraction. To do this, consider the place value of the decimal:
0.9054 =
9054
10000
Now, simplify the fraction 9054/10000. To do this, find the greatest common divisor (GCD) of 9054 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9054 ÷ 2
10000 ÷ 2
=
4527
5000
So, 0.9054 as a fraction is 4527/5000
Now that you have 0.9054 = 0 + 0.9054, express the entire number as a mixed fraction:
0.9054
= 0 +
4527
5000
=
0
5000
+
4527
5000
=
4527
5000
Here, 0/5000 is the whole number 0, and 4527/5000 is the fractional part.
Answer: 0.9054 = 4527/5000
Converting 0.9054 to a fraction results in 4527/5000. 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.