Answer: 0.0208 as a fraction is 13/625
Converting the decimal number 0.0208 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 0.0208 can be broken down as:
0.0208 = 0 + 0.0208
Here, 0 is the whole number part, and 0.0208 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0208, to a fraction. To do this, consider the place value of the decimal:
0.0208 =
208
10000
Now, simplify the fraction 208/10000. To do this, find the greatest common divisor (GCD) of 208 and 10000.
Now, divide both the numerator and the denominator by their GCD:
208 ÷ 16
10000 ÷ 16
=
13
625
So, 0.0208 as a fraction is 13/625
Step 4: Combine the Whole Number and FractionNow that you have 0.0208 = 0 + 0.0208, express the entire number as a mixed fraction:
0.0208
= 0 +
13
625
=
0
625
+
13
625
=
13
625
Here, 0/625 is the whole number 0, and 13/625 is the fractional part.
Final Result: Fraction Form of 0.0208 After simplifying, we get the final fraction:
Answer: 0.0208 = 13/625
Converting 0.0208 to a fraction results in 13/625. 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.