Answer: 0.0606 as a fraction is 303/5000
Converting the decimal number 0.0606 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 0.0606 can be broken down as:
0.0606 = 0 + 0.0606
Here, 0 is the whole number part, and 0.0606 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0606, to a fraction. To do this, consider the place value of the decimal:
0.0606 =
606
10000
Now, simplify the fraction 606/10000. To do this, find the greatest common divisor (GCD) of 606 and 10000.
Now, divide both the numerator and the denominator by their GCD:
606 ÷ 2
10000 ÷ 2
=
303
5000
So, 0.0606 as a fraction is 303/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.0606 = 0 + 0.0606, express the entire number as a mixed fraction:
0.0606
= 0 +
303
5000
=
0
5000
+
303
5000
=
303
5000
Here, 0/5000 is the whole number 0, and 303/5000 is the fractional part.
Final Result: Fraction Form of 0.0606 After simplifying, we get the final fraction:
Answer: 0.0606 = 303/5000
Converting 0.0606 to a fraction results in 303/5000. 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.