Answer: 1.0073 as a fraction is 10073/10000
Converting the decimal number 1.0073 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 1.0073 can be broken down as:
1.0073 = 1 + 0.0073000000000001
Here, 1 is the whole number part, and 0.0073000000000001 is the decimal part.
Focus on converting the decimal part, 0.0073000000000001, to a fraction. To do this, consider the place value of the decimal:
0.0073000000000001 =
73000000000001
10000000000000000
Now, simplify the fraction 73000000000001/10000000000000000. To do this, find the greatest common divisor (GCD) of 73000000000001 and 10000000000000000.
Now, divide both the numerator and the denominator by their GCD:
73000000000001 ÷ 1000000000000
10000000000000000 ÷ 1000000000000
=
73.000000000001
10000
So, 0.0073000000000001 as a fraction is 73.000000000001/10000
Now that you have 1.0073 = 1 + 0.0073000000000001, express the entire number as a mixed fraction:
1.0073
= 1 +
73.000000000001
10000
=
10000
10000
+
73.000000000001
10000
=
10073
10000
Here, 10000/10000 is the whole number 1, and 73.000000000001/10000 is the fractional part.
Answer: 1.0073 = 10073/10000
Converting 1.0073 to a fraction results in 10073/10000. 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.