Answer: 0.5601 as a fraction is 5601/10000
Converting the decimal number 0.5601 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 0.5601 can be broken down as:
0.5601 = 0 + 0.5601
Here, 0 is the whole number part, and 0.5601 is the decimal part.
Focus on converting the decimal part, 0.5601, to a fraction. To do this, consider the place value of the decimal:
0.5601 =
5601
10000
Now, simplify the fraction 5601/10000. To do this, find the greatest common divisor (GCD) of 5601 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5601 ÷ 1
10000 ÷ 1
=
5601
10000
So, 0.5601 as a fraction is 5601/10000
Now that you have 0.5601 = 0 + 0.5601, express the entire number as a mixed fraction:
0.5601
= 0 +
5601
10000
=
0
10000
+
5601
10000
=
5601
10000
Here, 0/10000 is the whole number 0, and 5601/10000 is the fractional part.
Answer: 0.5601 = 5601/10000
Converting 0.5601 to a fraction results in 5601/10000. 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.