Answer: 0.1818 as a fraction is 909/5000
Converting the decimal number 0.1818 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 0.1818 can be broken down as:
0.1818 = 0 + 0.1818
Here, 0 is the whole number part, and 0.1818 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.1818, to a fraction. To do this, consider the place value of the decimal:
0.1818 =
1818
10000
Now, simplify the fraction 1818/10000. To do this, find the greatest common divisor (GCD) of 1818 and 10000.
Now, divide both the numerator and the denominator by their GCD:
1818 ÷ 2
10000 ÷ 2
=
909
5000
So, 0.1818 as a fraction is 909/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.1818 = 0 + 0.1818, express the entire number as a mixed fraction:
0.1818
= 0 +
909
5000
=
0
5000
+
909
5000
=
909
5000
Here, 0/5000 is the whole number 0, and 909/5000 is the fractional part.
Final Result: Fraction Form of 0.1818 After simplifying, we get the final fraction:
Answer: 0.1818 = 909/5000
Converting 0.1818 to a fraction results in 909/5000. 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.