Answer: 1.7004 as a fraction is 17004/10000
Converting the decimal number 1.7004 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 1.7004 can be broken down as:
1.7004 = 1 + 0.7004
Here, 1 is the whole number part, and 0.7004 is the decimal part.
Focus on converting the decimal part, 0.7004, to a fraction. To do this, consider the place value of the decimal:
0.7004 =
7004
10000
Now, simplify the fraction 7004/10000. To do this, find the greatest common divisor (GCD) of 7004 and 10000.
Now, divide both the numerator and the denominator by their GCD:
7004 ÷ 1
10000 ÷ 1
=
7004
10000
So, 0.7004 as a fraction is 7004/10000
Now that you have 1.7004 = 1 + 0.7004, express the entire number as a mixed fraction:
1.7004
= 1 +
7004
10000
=
10000
10000
+
7004
10000
=
17004
10000
Here, 10000/10000 is the whole number 1, and 7004/10000 is the fractional part.
Answer: 1.7004 = 17004/10000
Converting 1.7004 to a fraction results in 17004/10000. 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.