Answer: 1.5008 as a fraction is 15008/10000
Converting the decimal number 1.5008 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 1.5008 can be broken down as:
1.5008 = 1 + 0.5008
Here, 1 is the whole number part, and 0.5008 is the decimal part.
Focus on converting the decimal part, 0.5008, to a fraction. To do this, consider the place value of the decimal:
0.5008 =
5008
10000
Now, simplify the fraction 5008/10000. To do this, find the greatest common divisor (GCD) of 5008 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5008 ÷ 1
10000 ÷ 1
=
5008
10000
So, 0.5008 as a fraction is 5008/10000
Now that you have 1.5008 = 1 + 0.5008, express the entire number as a mixed fraction:
1.5008
= 1 +
5008
10000
=
10000
10000
+
5008
10000
=
15008
10000
Here, 10000/10000 is the whole number 1, and 5008/10000 is the fractional part.
Answer: 1.5008 = 15008/10000
Converting 1.5008 to a fraction results in 15008/10000. 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.