Answer: 1.4501 as a fraction is 29.002/20
Converting the decimal number 1.4501 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 1.4501 can be broken down as:
1.4501 = 1 + 0.4501
Here, 1 is the whole number part, and 0.4501 is the decimal part.
Focus on converting the decimal part, 0.4501, to a fraction. To do this, consider the place value of the decimal:
0.4501 =
4501
10000
Now, simplify the fraction 4501/10000. To do this, find the greatest common divisor (GCD) of 4501 and 10000.
Now, divide both the numerator and the denominator by their GCD:
4501 ÷ 500
10000 ÷ 500
=
9.002
20
So, 0.4501 as a fraction is 9.002/20
Now that you have 1.4501 = 1 + 0.4501, express the entire number as a mixed fraction:
1.4501
= 1 +
9.002
20
=
20
20
+
9.002
20
=
29.002
20
Here, 20/20 is the whole number 1, and 9.002/20 is the fractional part.
Answer: 1.4501 = 29.002/20
Converting 1.4501 to a fraction results in 29.002/20. 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.