Answer: 0.4402 as a fraction is 2201/5000
Converting the decimal number 0.4402 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 0.4402 can be broken down as:
0.4402 = 0 + 0.4402
Here, 0 is the whole number part, and 0.4402 is the decimal part.
Focus on converting the decimal part, 0.4402, to a fraction. To do this, consider the place value of the decimal:
0.4402 =
4402
10000
Now, simplify the fraction 4402/10000. To do this, find the greatest common divisor (GCD) of 4402 and 10000.
Now, divide both the numerator and the denominator by their GCD:
4402 ÷ 2
10000 ÷ 2
=
2201
5000
So, 0.4402 as a fraction is 2201/5000
Now that you have 0.4402 = 0 + 0.4402, express the entire number as a mixed fraction:
0.4402
= 0 +
2201
5000
=
0
5000
+
2201
5000
=
2201
5000
Here, 0/5000 is the whole number 0, and 2201/5000 is the fractional part.
Answer: 0.4402 = 2201/5000
Converting 0.4402 to a fraction results in 2201/5000. 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.