Answer: 0.8798 as a fraction is 4399/5000
Converting the decimal number 0.8798 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 0.8798 can be broken down as:
0.8798 = 0 + 0.8798
Here, 0 is the whole number part, and 0.8798 is the decimal part.
Focus on converting the decimal part, 0.8798, to a fraction. To do this, consider the place value of the decimal:
0.8798 =
8798
10000
Now, simplify the fraction 8798/10000. To do this, find the greatest common divisor (GCD) of 8798 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8798 ÷ 2
10000 ÷ 2
=
4399
5000
So, 0.8798 as a fraction is 4399/5000
Now that you have 0.8798 = 0 + 0.8798, express the entire number as a mixed fraction:
0.8798
= 0 +
4399
5000
=
0
5000
+
4399
5000
=
4399
5000
Here, 0/5000 is the whole number 0, and 4399/5000 is the fractional part.
Answer: 0.8798 = 4399/5000
Converting 0.8798 to a fraction results in 4399/5000. 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.