Answer: 1.0048 as a fraction is 1.0048E+16/10000000000000000
Converting the decimal number 1.0048 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 1.0048 can be broken down as:
1.0048 = 1 + 0.0047999999999999
Here, 1 is the whole number part, and 0.0047999999999999 is the decimal part.
Focus on converting the decimal part, 0.0047999999999999, to a fraction. To do this, consider the place value of the decimal:
0.0047999999999999 =
47999999999999
10000000000000000
Now, simplify the fraction 47999999999999/10000000000000000. To do this, find the greatest common divisor (GCD) of 47999999999999 and 10000000000000000.
Now, divide both the numerator and the denominator by their GCD:
47999999999999 ÷ 1
10000000000000000 ÷ 1
=
47999999999999
10000000000000000
So, 0.0047999999999999 as a fraction is 47999999999999/10000000000000000
Now that you have 1.0048 = 1 + 0.0047999999999999, express the entire number as a mixed fraction:
1.0048
= 1 +
47999999999999
10000000000000000
=
1.0E+16
10000000000000000
+
47999999999999
10000000000000000
=
1.0048E+16
10000000000000000
Here, 1.0E+16/10000000000000000 is the whole number 1, and 47999999999999/10000000000000000 is the fractional part.
Answer: 1.0048 = 1.0048E+16/10000000000000000
Converting 1.0048 to a fraction results in 1.0048E+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.