Answer: 0.0222 as a fraction is 111/5000
Converting the decimal number 0.0222 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 0.0222 can be broken down as:
0.0222 = 0 + 0.0222
Here, 0 is the whole number part, and 0.0222 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0222, to a fraction. To do this, consider the place value of the decimal:
0.0222 =
222
10000
Now, simplify the fraction 222/10000. To do this, find the greatest common divisor (GCD) of 222 and 10000.
Now, divide both the numerator and the denominator by their GCD:
222 ÷ 2
10000 ÷ 2
=
111
5000
So, 0.0222 as a fraction is 111/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0222 = 0 + 0.0222, express the entire number as a mixed fraction:
0.0222
= 0 +
111
5000
=
0
5000
+
111
5000
=
111
5000
Here, 0/5000 is the whole number 0, and 111/5000 is the fractional part.
Final Result: Fraction Form of 0.0222 After simplifying, we get the final fraction:
Answer: 0.0222 = 111/5000
Converting 0.0222 to a fraction results in 111/5000. 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.