Answer: 1.2483 as a fraction is 6241.5/5000
Converting the decimal number 1.2483 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 1.2483 can be broken down as:
1.2483 = 1 + 0.2483
Here, 1 is the whole number part, and 0.2483 is the decimal part.
Focus on converting the decimal part, 0.2483, to a fraction. To do this, consider the place value of the decimal:
0.2483 =
2483
10000
Now, simplify the fraction 2483/10000. To do this, find the greatest common divisor (GCD) of 2483 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2483 ÷ 2
10000 ÷ 2
=
1241.5
5000
So, 0.2483 as a fraction is 1241.5/5000
Now that you have 1.2483 = 1 + 0.2483, express the entire number as a mixed fraction:
1.2483
= 1 +
1241.5
5000
=
5000
5000
+
1241.5
5000
=
6241.5
5000
Here, 5000/5000 is the whole number 1, and 1241.5/5000 is the fractional part.
Answer: 1.2483 = 6241.5/5000
Converting 1.2483 to a fraction results in 6241.5/5000. 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.