Answer: 1.0053 as a fraction is 10053/10000
Converting the decimal number 1.0053 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 1.0053 can be broken down as:
1.0053 = 1 + 0.0053000000000001
Here, 1 is the whole number part, and 0.0053000000000001 is the decimal part.
Focus on converting the decimal part, 0.0053000000000001, to a fraction. To do this, consider the place value of the decimal:
0.0053000000000001 =
53000000000001
10000000000000000
Now, simplify the fraction 53000000000001/10000000000000000. To do this, find the greatest common divisor (GCD) of 53000000000001 and 10000000000000000.
Now, divide both the numerator and the denominator by their GCD:
53000000000001 ÷ 1000000000000
10000000000000000 ÷ 1000000000000
=
53.000000000001
10000
So, 0.0053000000000001 as a fraction is 53.000000000001/10000
Now that you have 1.0053 = 1 + 0.0053000000000001, express the entire number as a mixed fraction:
1.0053
= 1 +
53.000000000001
10000
=
10000
10000
+
53.000000000001
10000
=
10053
10000
Here, 10000/10000 is the whole number 1, and 53.000000000001/10000 is the fractional part.
Answer: 1.0053 = 10053/10000
Converting 1.0053 to a fraction results in 10053/10000. 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.