Answer: 0.9045 as a fraction is 1809/2000
Converting the decimal number 0.9045 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 0.9045 can be broken down as:
0.9045 = 0 + 0.9045
Here, 0 is the whole number part, and 0.9045 is the decimal part.
Focus on converting the decimal part, 0.9045, to a fraction. To do this, consider the place value of the decimal:
0.9045 =
9045
10000
Now, simplify the fraction 9045/10000. To do this, find the greatest common divisor (GCD) of 9045 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9045 ÷ 5
10000 ÷ 5
=
1809
2000
So, 0.9045 as a fraction is 1809/2000
Now that you have 0.9045 = 0 + 0.9045, express the entire number as a mixed fraction:
0.9045
= 0 +
1809
2000
=
0
2000
+
1809
2000
=
1809
2000
Here, 0/2000 is the whole number 0, and 1809/2000 is the fractional part.
Answer: 0.9045 = 1809/2000
Converting 0.9045 to a fraction results in 1809/2000. 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.