Answer: 0.5481 as a fraction is 5481/10000
Converting the decimal number 0.5481 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 0.5481 can be broken down as:
0.5481 = 0 + 0.5481
Here, 0 is the whole number part, and 0.5481 is the decimal part.
Focus on converting the decimal part, 0.5481, to a fraction. To do this, consider the place value of the decimal:
0.5481 =
5481
10000
Now, simplify the fraction 5481/10000. To do this, find the greatest common divisor (GCD) of 5481 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5481 ÷ 1
10000 ÷ 1
=
5481
10000
So, 0.5481 as a fraction is 5481/10000
Now that you have 0.5481 = 0 + 0.5481, express the entire number as a mixed fraction:
0.5481
= 0 +
5481
10000
=
0
10000
+
5481
10000
=
5481
10000
Here, 0/10000 is the whole number 0, and 5481/10000 is the fractional part.
Answer: 0.5481 = 5481/10000
Converting 0.5481 to a fraction results in 5481/10000. 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.