Answer: 0.0450 as a fraction is 9/200
Converting the decimal number 0.0450 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 0.0450 can be broken down as:
0.0450 = 0 + 0.045
Here, 0 is the whole number part, and 0.045 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.045, to a fraction. To do this, consider the place value of the decimal:
0.045 =
45
1000
Now, simplify the fraction 45/1000. To do this, find the greatest common divisor (GCD) of 45 and 1000.
Now, divide both the numerator and the denominator by their GCD:
45 ÷ 5
1000 ÷ 5
=
9
200
So, 0.045 as a fraction is 9/200
Step 4: Combine the Whole Number and FractionNow that you have 0.0450 = 0 + 0.045, express the entire number as a mixed fraction:
0.0450
= 0 +
9
200
=
0
200
+
9
200
=
9
200
Here, 0/200 is the whole number 0, and 9/200 is the fractional part.
Final Result: Fraction Form of 0.0450 After simplifying, we get the final fraction:
Answer: 0.0450 = 9/200
Converting 0.0450 to a fraction results in 9/200. 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.