Answer: 0.5993 as a fraction is 5993/10000
Converting the decimal number 0.5993 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 0.5993 can be broken down as:
0.5993 = 0 + 0.5993
Here, 0 is the whole number part, and 0.5993 is the decimal part.
Focus on converting the decimal part, 0.5993, to a fraction. To do this, consider the place value of the decimal:
0.5993 =
5993
10000
Now, simplify the fraction 5993/10000. To do this, find the greatest common divisor (GCD) of 5993 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5993 ÷ 1
10000 ÷ 1
=
5993
10000
So, 0.5993 as a fraction is 5993/10000
Now that you have 0.5993 = 0 + 0.5993, express the entire number as a mixed fraction:
0.5993
= 0 +
5993
10000
=
0
10000
+
5993
10000
=
5993
10000
Here, 0/10000 is the whole number 0, and 5993/10000 is the fractional part.
Answer: 0.5993 = 5993/10000
Converting 0.5993 to a fraction results in 5993/10000. 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.