Answer: 1.2464 as a fraction is 12464/10000
Converting the decimal number 1.2464 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 1.2464 can be broken down as:
1.2464 = 1 + 0.2464
Here, 1 is the whole number part, and 0.2464 is the decimal part.
Focus on converting the decimal part, 0.2464, to a fraction. To do this, consider the place value of the decimal:
0.2464 =
2464
10000
Now, simplify the fraction 2464/10000. To do this, find the greatest common divisor (GCD) of 2464 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2464 ÷ 1
10000 ÷ 1
=
2464
10000
So, 0.2464 as a fraction is 2464/10000
Now that you have 1.2464 = 1 + 0.2464, express the entire number as a mixed fraction:
1.2464
= 1 +
2464
10000
=
10000
10000
+
2464
10000
=
12464
10000
Here, 10000/10000 is the whole number 1, and 2464/10000 is the fractional part.
Answer: 1.2464 = 12464/10000
Converting 1.2464 to a fraction results in 12464/10000. 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.