Answer: 1.9001 as a fraction is 19.001/10
Converting the decimal number 1.9001 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 1.9001 can be broken down as:
1.9001 = 1 + 0.9001
Here, 1 is the whole number part, and 0.9001 is the decimal part.
Focus on converting the decimal part, 0.9001, to a fraction. To do this, consider the place value of the decimal:
0.9001 =
9001
10000
Now, simplify the fraction 9001/10000. To do this, find the greatest common divisor (GCD) of 9001 and 10000.
Now, divide both the numerator and the denominator by their GCD:
9001 ÷ 1000
10000 ÷ 1000
=
9.001
10
So, 0.9001 as a fraction is 9.001/10
Now that you have 1.9001 = 1 + 0.9001, express the entire number as a mixed fraction:
1.9001
= 1 +
9.001
10
=
10
10
+
9.001
10
=
19.001
10
Here, 10/10 is the whole number 1, and 9.001/10 is the fractional part.
Answer: 1.9001 = 19.001/10
Converting 1.9001 to a fraction results in 19.001/10. 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.