Answer: 1.4480 as a fraction is 1448/1000
Converting the decimal number 1.4480 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 1.4480 can be broken down as:
1.4480 = 1 + 0.448
Here, 1 is the whole number part, and 0.448 is the decimal part.
Focus on converting the decimal part, 0.448, to a fraction. To do this, consider the place value of the decimal:
0.448 =
448
1000
Now, simplify the fraction 448/1000. To do this, find the greatest common divisor (GCD) of 448 and 1000.
Now, divide both the numerator and the denominator by their GCD:
448 ÷ 1
1000 ÷ 1
=
448
1000
So, 0.448 as a fraction is 448/1000
Now that you have 1.4480 = 1 + 0.448, express the entire number as a mixed fraction:
1.4480
= 1 +
448
1000
=
1000
1000
+
448
1000
=
1448
1000
Here, 1000/1000 is the whole number 1, and 448/1000 is the fractional part.
Answer: 1.4480 = 1448/1000
Converting 1.4480 to a fraction results in 1448/1000. 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.