Answer: 1.2468 as a fraction is 12468/10000
Converting the decimal number 1.2468 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 1.2468 can be broken down as:
1.2468 = 1 + 0.2468
Here, 1 is the whole number part, and 0.2468 is the decimal part.
Focus on converting the decimal part, 0.2468, to a fraction. To do this, consider the place value of the decimal:
0.2468 =
2468
10000
Now, simplify the fraction 2468/10000. To do this, find the greatest common divisor (GCD) of 2468 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2468 ÷ 1
10000 ÷ 1
=
2468
10000
So, 0.2468 as a fraction is 2468/10000
Now that you have 1.2468 = 1 + 0.2468, express the entire number as a mixed fraction:
1.2468
= 1 +
2468
10000
=
10000
10000
+
2468
10000
=
12468
10000
Here, 10000/10000 is the whole number 1, and 2468/10000 is the fractional part.
Answer: 1.2468 = 12468/10000
Converting 1.2468 to a fraction results in 12468/10000. 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.