Answer: 1.0055 as a fraction is 2011/2000
Converting the decimal number 1.0055 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 1.0055 can be broken down as:
1.0055 = 1 + 0.0055000000000001
Here, 1 is the whole number part, and 0.0055000000000001 is the decimal part.
Focus on converting the decimal part, 0.0055000000000001, to a fraction. To do this, consider the place value of the decimal:
0.0055000000000001 =
55000000000001
10000000000000000
Now, simplify the fraction 55000000000001/10000000000000000. To do this, find the greatest common divisor (GCD) of 55000000000001 and 10000000000000000.
Now, divide both the numerator and the denominator by their GCD:
55000000000001 ÷ 5000000000000
10000000000000000 ÷ 5000000000000
=
11
2000
So, 0.0055000000000001 as a fraction is 11/2000
Now that you have 1.0055 = 1 + 0.0055000000000001, express the entire number as a mixed fraction:
1.0055
= 1 +
11
2000
=
2000
2000
+
11
2000
=
2011
2000
Here, 2000/2000 is the whole number 1, and 11/2000 is the fractional part.
Answer: 1.0055 = 2011/2000
Converting 1.0055 to a fraction results in 2011/2000. 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.