Answer: 0.5590 as a fraction is 559/1000
Converting the decimal number 0.5590 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 0.5590 can be broken down as:
0.5590 = 0 + 0.559
Here, 0 is the whole number part, and 0.559 is the decimal part.
Focus on converting the decimal part, 0.559, to a fraction. To do this, consider the place value of the decimal:
0.559 =
559
1000
Now, simplify the fraction 559/1000. To do this, find the greatest common divisor (GCD) of 559 and 1000.
Now, divide both the numerator and the denominator by their GCD:
559 ÷ 1
1000 ÷ 1
=
559
1000
So, 0.559 as a fraction is 559/1000
Now that you have 0.5590 = 0 + 0.559, express the entire number as a mixed fraction:
0.5590
= 0 +
559
1000
=
0
1000
+
559
1000
=
559
1000
Here, 0/1000 is the whole number 0, and 559/1000 is the fractional part.
Answer: 0.5590 = 559/1000
Converting 0.5590 to a fraction results in 559/1000. 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.