Answer: 0.2018 as a fraction is 1009/5000
Converting the decimal number 0.2018 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 0.2018 can be broken down as:
0.2018 = 0 + 0.2018
Here, 0 is the whole number part, and 0.2018 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2018, to a fraction. To do this, consider the place value of the decimal:
0.2018 =
2018
10000
Now, simplify the fraction 2018/10000. To do this, find the greatest common divisor (GCD) of 2018 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2018 ÷ 2
10000 ÷ 2
=
1009
5000
So, 0.2018 as a fraction is 1009/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.2018 = 0 + 0.2018, express the entire number as a mixed fraction:
0.2018
= 0 +
1009
5000
=
0
5000
+
1009
5000
=
1009
5000
Here, 0/5000 is the whole number 0, and 1009/5000 is the fractional part.
Final Result: Fraction Form of 0.2018 After simplifying, we get the final fraction:
Answer: 0.2018 = 1009/5000
Converting 0.2018 to a fraction results in 1009/5000. 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.