Answer: 1.5554 as a fraction is 15554/10000
Converting the decimal number 1.5554 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 1.5554 can be broken down as:
1.5554 = 1 + 0.5554
Here, 1 is the whole number part, and 0.5554 is the decimal part.
Focus on converting the decimal part, 0.5554, to a fraction. To do this, consider the place value of the decimal:
0.5554 =
5554
10000
Now, simplify the fraction 5554/10000. To do this, find the greatest common divisor (GCD) of 5554 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5554 ÷ 1
10000 ÷ 1
=
5554
10000
So, 0.5554 as a fraction is 5554/10000
Now that you have 1.5554 = 1 + 0.5554, express the entire number as a mixed fraction:
1.5554
= 1 +
5554
10000
=
10000
10000
+
5554
10000
=
15554
10000
Here, 10000/10000 is the whole number 1, and 5554/10000 is the fractional part.
Answer: 1.5554 = 15554/10000
Converting 1.5554 to a fraction results in 15554/10000. 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.