Answer: 0.0225 as a fraction is 9/400
Converting the decimal number 0.0225 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 0.0225 can be broken down as:
0.0225 = 0 + 0.0225
Here, 0 is the whole number part, and 0.0225 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0225, to a fraction. To do this, consider the place value of the decimal:
0.0225 =
225
10000
Now, simplify the fraction 225/10000. To do this, find the greatest common divisor (GCD) of 225 and 10000.
Now, divide both the numerator and the denominator by their GCD:
225 ÷ 25
10000 ÷ 25
=
9
400
So, 0.0225 as a fraction is 9/400
Step 4: Combine the Whole Number and FractionNow that you have 0.0225 = 0 + 0.0225, express the entire number as a mixed fraction:
0.0225
= 0 +
9
400
=
0
400
+
9
400
=
9
400
Here, 0/400 is the whole number 0, and 9/400 is the fractional part.
Final Result: Fraction Form of 0.0225 After simplifying, we get the final fraction:
Answer: 0.0225 = 9/400
Converting 0.0225 to a fraction results in 9/400. 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.