Answer: 1.4363 as a fraction is 7181.5/5000
Converting the decimal number 1.4363 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 1.4363 can be broken down as:
1.4363 = 1 + 0.4363
Here, 1 is the whole number part, and 0.4363 is the decimal part.
Focus on converting the decimal part, 0.4363, to a fraction. To do this, consider the place value of the decimal:
0.4363 =
4363
10000
Now, simplify the fraction 4363/10000. To do this, find the greatest common divisor (GCD) of 4363 and 10000.
Now, divide both the numerator and the denominator by their GCD:
4363 ÷ 2
10000 ÷ 2
=
2181.5
5000
So, 0.4363 as a fraction is 2181.5/5000
Now that you have 1.4363 = 1 + 0.4363, express the entire number as a mixed fraction:
1.4363
= 1 +
2181.5
5000
=
5000
5000
+
2181.5
5000
=
7181.5
5000
Here, 5000/5000 is the whole number 1, and 2181.5/5000 is the fractional part.
Answer: 1.4363 = 7181.5/5000
Converting 1.4363 to a fraction results in 7181.5/5000. 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.