Answer: 1.2463 as a fraction is 6231.5/5000
Converting the decimal number 1.2463 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 1.2463 can be broken down as:
1.2463 = 1 + 0.2463
Here, 1 is the whole number part, and 0.2463 is the decimal part.
Focus on converting the decimal part, 0.2463, to a fraction. To do this, consider the place value of the decimal:
0.2463 =
2463
10000
Now, simplify the fraction 2463/10000. To do this, find the greatest common divisor (GCD) of 2463 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2463 ÷ 2
10000 ÷ 2
=
1231.5
5000
So, 0.2463 as a fraction is 1231.5/5000
Now that you have 1.2463 = 1 + 0.2463, express the entire number as a mixed fraction:
1.2463
= 1 +
1231.5
5000
=
5000
5000
+
1231.5
5000
=
6231.5
5000
Here, 5000/5000 is the whole number 1, and 1231.5/5000 is the fractional part.
Answer: 1.2463 = 6231.5/5000
Converting 1.2463 to a fraction results in 6231.5/5000. 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.