Answer: 1.5015 as a fraction is 3003/2000
Converting the decimal number 1.5015 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 1.5015 can be broken down as:
1.5015 = 1 + 0.5015
Here, 1 is the whole number part, and 0.5015 is the decimal part.
Focus on converting the decimal part, 0.5015, to a fraction. To do this, consider the place value of the decimal:
0.5015 =
5015
10000
Now, simplify the fraction 5015/10000. To do this, find the greatest common divisor (GCD) of 5015 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5015 ÷ 5
10000 ÷ 5
=
1003
2000
So, 0.5015 as a fraction is 1003/2000
Now that you have 1.5015 = 1 + 0.5015, express the entire number as a mixed fraction:
1.5015
= 1 +
1003
2000
=
2000
2000
+
1003
2000
=
3003
2000
Here, 2000/2000 is the whole number 1, and 1003/2000 is the fractional part.
Answer: 1.5015 = 3003/2000
Converting 1.5015 to a fraction results in 3003/2000. 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.