Answer: 1.0031 as a fraction is 1.0031E+16/10000000000000000
Converting the decimal number 1.0031 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 1.0031 can be broken down as:
1.0031 = 1 + 0.0031000000000001
Here, 1 is the whole number part, and 0.0031000000000001 is the decimal part.
Focus on converting the decimal part, 0.0031000000000001, to a fraction. To do this, consider the place value of the decimal:
0.0031000000000001 =
31000000000001
10000000000000000
Now, simplify the fraction 31000000000001/10000000000000000. To do this, find the greatest common divisor (GCD) of 31000000000001 and 10000000000000000.
Now, divide both the numerator and the denominator by their GCD:
31000000000001 ÷ 1
10000000000000000 ÷ 1
=
31000000000001
10000000000000000
So, 0.0031000000000001 as a fraction is 31000000000001/10000000000000000
Now that you have 1.0031 = 1 + 0.0031000000000001, express the entire number as a mixed fraction:
1.0031
= 1 +
31000000000001
10000000000000000
=
1.0E+16
10000000000000000
+
31000000000001
10000000000000000
=
1.0031E+16
10000000000000000
Here, 1.0E+16/10000000000000000 is the whole number 1, and 31000000000001/10000000000000000 is the fractional part.
Answer: 1.0031 = 1.0031E+16/10000000000000000
Converting 1.0031 to a fraction results in 1.0031E+16/10000000000000000. 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.