Answer: 0.5551 as a fraction is 5551/10000
Converting the decimal number 0.5551 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 0.5551 can be broken down as:
0.5551 = 0 + 0.5551
Here, 0 is the whole number part, and 0.5551 is the decimal part.
Focus on converting the decimal part, 0.5551, to a fraction. To do this, consider the place value of the decimal:
0.5551 =
5551
10000
Now, simplify the fraction 5551/10000. To do this, find the greatest common divisor (GCD) of 5551 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5551 ÷ 1
10000 ÷ 1
=
5551
10000
So, 0.5551 as a fraction is 5551/10000
Now that you have 0.5551 = 0 + 0.5551, express the entire number as a mixed fraction:
0.5551
= 0 +
5551
10000
=
0
10000
+
5551
10000
=
5551
10000
Here, 0/10000 is the whole number 0, and 5551/10000 is the fractional part.
Answer: 0.5551 = 5551/10000
Converting 0.5551 to a fraction results in 5551/10000. 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.