Answer: 1.4482 as a fraction is 14482/10000
Converting the decimal number 1.4482 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 1.4482 can be broken down as:
1.4482 = 1 + 0.4482
Here, 1 is the whole number part, and 0.4482 is the decimal part.
Focus on converting the decimal part, 0.4482, to a fraction. To do this, consider the place value of the decimal:
0.4482 =
4482
10000
Now, simplify the fraction 4482/10000. To do this, find the greatest common divisor (GCD) of 4482 and 10000.
Now, divide both the numerator and the denominator by their GCD:
4482 ÷ 1
10000 ÷ 1
=
4482
10000
So, 0.4482 as a fraction is 4482/10000
Now that you have 1.4482 = 1 + 0.4482, express the entire number as a mixed fraction:
1.4482
= 1 +
4482
10000
=
10000
10000
+
4482
10000
=
14482
10000
Here, 10000/10000 is the whole number 1, and 4482/10000 is the fractional part.
Answer: 1.4482 = 14482/10000
Converting 1.4482 to a fraction results in 14482/10000. 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.