Answer: 0.9046 as a fraction is 4523/5000
Converting the decimal number 0.9046 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 0.9046 can be broken down as:
0.9046 = 0 + 0.9046
Here, 0 is the whole number part, and 0.9046 is the decimal part.
Focus on converting the decimal part, 0.9046, to a fraction. To do this, consider the place value of the decimal:
0.9046 =
9046
10000
Now, simplify the fraction 9046/10000. To do this, find the greatest common divisor (GCD) of 9046 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9046 ÷ 2
10000 ÷ 2
=
4523
5000
So, 0.9046 as a fraction is 4523/5000
Now that you have 0.9046 = 0 + 0.9046, express the entire number as a mixed fraction:
0.9046
= 0 +
4523
5000
=
0
5000
+
4523
5000
=
4523
5000
Here, 0/5000 is the whole number 0, and 4523/5000 is the fractional part.
Answer: 0.9046 = 4523/5000
Converting 0.9046 to a fraction results in 4523/5000. 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.