Answer: 0.8903 as a fraction is 8903/10000
Converting the decimal number 0.8903 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 0.8903 can be broken down as:
0.8903 = 0 + 0.8903
Here, 0 is the whole number part, and 0.8903 is the decimal part.
Focus on converting the decimal part, 0.8903, to a fraction. To do this, consider the place value of the decimal:
0.8903 =
8903
10000
Now, simplify the fraction 8903/10000. To do this, find the greatest common divisor (GCD) of 8903 and 10000.
Now, divide both the numerator and the denominator by their GCD:
8903 ÷ 1
10000 ÷ 1
=
8903
10000
So, 0.8903 as a fraction is 8903/10000
Now that you have 0.8903 = 0 + 0.8903, express the entire number as a mixed fraction:
0.8903
= 0 +
8903
10000
=
0
10000
+
8903
10000
=
8903
10000
Here, 0/10000 is the whole number 0, and 8903/10000 is the fractional part.
Answer: 0.8903 = 8903/10000
Converting 0.8903 to a fraction results in 8903/10000. 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.