Answer: 0.2220 as a fraction is 111/500
Converting the decimal number 0.2220 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 0.2220 can be broken down as:
0.2220 = 0 + 0.222
Here, 0 is the whole number part, and 0.222 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.222, to a fraction. To do this, consider the place value of the decimal:
0.222 =
222
1000
Now, simplify the fraction 222/1000. To do this, find the greatest common divisor (GCD) of 222 and 1000.
Now, divide both the numerator and the denominator by their GCD:
222 ÷ 2
1000 ÷ 2
=
111
500
So, 0.222 as a fraction is 111/500
Step 4: Combine the Whole Number and FractionNow that you have 0.2220 = 0 + 0.222, express the entire number as a mixed fraction:
0.2220
= 0 +
111
500
=
0
500
+
111
500
=
111
500
Here, 0/500 is the whole number 0, and 111/500 is the fractional part.
Final Result: Fraction Form of 0.2220 After simplifying, we get the final fraction:
Answer: 0.2220 = 111/500
Converting 0.2220 to a fraction results in 111/500. 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.