Answer: 0.2012 as a fraction is 503/2500
Converting the decimal number 0.2012 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 0.2012 can be broken down as:
0.2012 = 0 + 0.2012
Here, 0 is the whole number part, and 0.2012 is the decimal part.
Focus on converting the decimal part, 0.2012, to a fraction. To do this, consider the place value of the decimal:
0.2012 =
2012
10000
Now, simplify the fraction 2012/10000. To do this, find the greatest common divisor (GCD) of 2012 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2012 ÷ 4
10000 ÷ 4
=
503
2500
So, 0.2012 as a fraction is 503/2500
Now that you have 0.2012 = 0 + 0.2012, express the entire number as a mixed fraction:
0.2012
= 0 +
503
2500
=
0
2500
+
503
2500
=
503
2500
Here, 0/2500 is the whole number 0, and 503/2500 is the fractional part.
Answer: 0.2012 = 503/2500
Converting 0.2012 to a fraction results in 503/2500. 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.