Answer: 0.9993 as a fraction is 9993/10000
Converting the decimal number 0.9993 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 0.9993 can be broken down as:
0.9993 = 0 + 0.9993
Here, 0 is the whole number part, and 0.9993 is the decimal part.
Focus on converting the decimal part, 0.9993, to a fraction. To do this, consider the place value of the decimal:
0.9993 =
9993
10000
Now, simplify the fraction 9993/10000. To do this, find the greatest common divisor (GCD) of 9993 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9993 ÷ 1
10000 ÷ 1
=
9993
10000
So, 0.9993 as a fraction is 9993/10000
Now that you have 0.9993 = 0 + 0.9993, express the entire number as a mixed fraction:
0.9993
= 0 +
9993
10000
=
0
10000
+
9993
10000
=
9993
10000
Here, 0/10000 is the whole number 0, and 9993/10000 is the fractional part.
Answer: 0.9993 = 9993/10000
Converting 0.9993 to a fraction results in 9993/10000. 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.