Answer: 1.2081 as a fraction is 151.0125/125
Converting the decimal number 1.2081 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 1.2081 can be broken down as:
1.2081 = 1 + 0.2081
Here, 1 is the whole number part, and 0.2081 is the decimal part.
Focus on converting the decimal part, 0.2081, to a fraction. To do this, consider the place value of the decimal:
0.2081 =
2081
10000
Now, simplify the fraction 2081/10000. To do this, find the greatest common divisor (GCD) of 2081 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2081 ÷ 80
10000 ÷ 80
=
26.0125
125
So, 0.2081 as a fraction is 26.0125/125
Now that you have 1.2081 = 1 + 0.2081, express the entire number as a mixed fraction:
1.2081
= 1 +
26.0125
125
=
125
125
+
26.0125
125
=
151.0125
125
Here, 125/125 is the whole number 1, and 26.0125/125 is the fractional part.
Answer: 1.2081 = 151.0125/125
Converting 1.2081 to a fraction results in 151.0125/125. 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.