Answer: 2.0603 as a fraction is 10301.5/5000
Converting the decimal number 2.0603 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 2.0603 can be broken down as:
2.0603 = 2 + 0.0603
Here, 2 is the whole number part, and 0.0603 is the decimal part.
Focus on converting the decimal part, 0.0603, to a fraction. To do this, consider the place value of the decimal:
0.0603 =
603
10000
Now, simplify the fraction 603/10000. To do this, find the greatest common divisor (GCD) of 603 and 10000.
Now, divide both the numerator and the denominator by their GCD:
603 ÷ 2
10000 ÷ 2
=
301.5
5000
So, 0.0603 as a fraction is 301.5/5000
Now that you have 2.0603 = 2 + 0.0603, express the entire number as a mixed fraction:
2.0603
= 2 +
301.5
5000
=
10000
5000
+
301.5
5000
=
10301.5
5000
Here, 10000/5000 is the whole number 2, and 301.5/5000 is the fractional part.
Answer: 2.0603 = 10301.5/5000
Converting 2.0603 to a fraction results in 10301.5/5000. 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.