Answer: 1.4440 as a fraction is 1444/1000
Converting the decimal number 1.4440 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 1.4440 can be broken down as:
1.4440 = 1 + 0.444
Here, 1 is the whole number part, and 0.444 is the decimal part.
Focus on converting the decimal part, 0.444, to a fraction. To do this, consider the place value of the decimal:
0.444 =
444
1000
Now, simplify the fraction 444/1000. To do this, find the greatest common divisor (GCD) of 444 and 1000.
Now, divide both the numerator and the denominator by their GCD:
444 ÷ 1
1000 ÷ 1
=
444
1000
So, 0.444 as a fraction is 444/1000
Now that you have 1.4440 = 1 + 0.444, express the entire number as a mixed fraction:
1.4440
= 1 +
444
1000
=
1000
1000
+
444
1000
=
1444
1000
Here, 1000/1000 is the whole number 1, and 444/1000 is the fractional part.
Answer: 1.4440 = 1444/1000
Converting 1.4440 to a fraction results in 1444/1000. 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.