Answer: 1.5048 as a fraction is 15048/10000
Converting the decimal number 1.5048 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 1.5048 can be broken down as:
1.5048 = 1 + 0.5048
Here, 1 is the whole number part, and 0.5048 is the decimal part.
Focus on converting the decimal part, 0.5048, to a fraction. To do this, consider the place value of the decimal:
0.5048 =
5048
10000
Now, simplify the fraction 5048/10000. To do this, find the greatest common divisor (GCD) of 5048 and 10000.
Now, divide both the numerator and the denominator by their GCD:
5048 ÷ 1
10000 ÷ 1
=
5048
10000
So, 0.5048 as a fraction is 5048/10000
Now that you have 1.5048 = 1 + 0.5048, express the entire number as a mixed fraction:
1.5048
= 1 +
5048
10000
=
10000
10000
+
5048
10000
=
15048
10000
Here, 10000/10000 is the whole number 1, and 5048/10000 is the fractional part.
Answer: 1.5048 = 15048/10000
Converting 1.5048 to a fraction results in 15048/10000. 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.