Answer: 0.1980 as a fraction is 99/500
Converting the decimal number 0.1980 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.
Step 1: Understand the DecimalThe decimal 0.1980 can be broken down as:
0.1980 = 0 + 0.198
Here, 0 is the whole number part, and 0.198 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.198, to a fraction. To do this, consider the place value of the decimal:
0.198 =
198
1000
Now, simplify the fraction 198/1000. To do this, find the greatest common divisor (GCD) of 198 and 1000.
Now, divide both the numerator and the denominator by their GCD:
198 ÷ 2
1000 ÷ 2
=
99
500
So, 0.198 as a fraction is 99/500
Step 4: Combine the Whole Number and FractionNow that you have 0.1980 = 0 + 0.198, express the entire number as a mixed fraction:
0.1980
= 0 +
99
500
=
0
500
+
99
500
=
99
500
Here, 0/500 is the whole number 0, and 99/500 is the fractional part.
Final Result: Fraction Form of 0.1980 After simplifying, we get the final fraction:
Answer: 0.1980 = 99/500
Converting 0.1980 to a fraction results in 99/500. 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.