Answer: 0.4503 as a fraction is 4503/10000
Converting the decimal number 0.4503 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 0.4503 can be broken down as:
0.4503 = 0 + 0.4503
Here, 0 is the whole number part, and 0.4503 is the decimal part.
Focus on converting the decimal part, 0.4503, to a fraction. To do this, consider the place value of the decimal:
0.4503 =
4503
10000
Now, simplify the fraction 4503/10000. To do this, find the greatest common divisor (GCD) of 4503 and 10000.
Now, divide both the numerator and the denominator by their GCD:
4503 ÷ 1
10000 ÷ 1
=
4503
10000
So, 0.4503 as a fraction is 4503/10000
Now that you have 0.4503 = 0 + 0.4503, express the entire number as a mixed fraction:
0.4503
= 0 +
4503
10000
=
0
10000
+
4503
10000
=
4503
10000
Here, 0/10000 is the whole number 0, and 4503/10000 is the fractional part.
Answer: 0.4503 = 4503/10000
Converting 0.4503 to a fraction results in 4503/10000. 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.