Answer: 1.8255 as a fraction is 9127.5/5000
Converting the decimal number 1.8255 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 1.8255 can be broken down as:
1.8255 = 1 + 0.8255
Here, 1 is the whole number part, and 0.8255 is the decimal part.
Focus on converting the decimal part, 0.8255, to a fraction. To do this, consider the place value of the decimal:
0.8255 =
8255
10000
Now, simplify the fraction 8255/10000. To do this, find the greatest common divisor (GCD) of 8255 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8255 ÷ 2
10000 ÷ 2
=
4127.5
5000
So, 0.8255 as a fraction is 4127.5/5000
Now that you have 1.8255 = 1 + 0.8255, express the entire number as a mixed fraction:
1.8255
= 1 +
4127.5
5000
=
5000
5000
+
4127.5
5000
=
9127.5
5000
Here, 5000/5000 is the whole number 1, and 4127.5/5000 is the fractional part.
Answer: 1.8255 = 9127.5/5000
Converting 1.8255 to a fraction results in 9127.5/5000. 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.