Answer: 1.4783 as a fraction is 7391.5/5000
Converting the decimal number 1.4783 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 1.4783 can be broken down as:
1.4783 = 1 + 0.4783
Here, 1 is the whole number part, and 0.4783 is the decimal part.
Focus on converting the decimal part, 0.4783, to a fraction. To do this, consider the place value of the decimal:
0.4783 =
4783
10000
Now, simplify the fraction 4783/10000. To do this, find the greatest common divisor (GCD) of 4783 and 10000.
Now, divide both the numerator and the denominator by their GCD:
4783 ÷ 2
10000 ÷ 2
=
2391.5
5000
So, 0.4783 as a fraction is 2391.5/5000
Now that you have 1.4783 = 1 + 0.4783, express the entire number as a mixed fraction:
1.4783
= 1 +
2391.5
5000
=
5000
5000
+
2391.5
5000
=
7391.5
5000
Here, 5000/5000 is the whole number 1, and 2391.5/5000 is the fractional part.
Answer: 1.4783 = 7391.5/5000
Converting 1.4783 to a fraction results in 7391.5/5000. 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.