Answer: 0.0681 as a fraction is 17.025/250
Converting the decimal number 0.0681 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 0.0681 can be broken down as:
0.0681 = 0 + 0.0681
Here, 0 is the whole number part, and 0.0681 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0681, to a fraction. To do this, consider the place value of the decimal:
0.0681 =
681
10000
Now, simplify the fraction 681/10000. To do this, find the greatest common divisor (GCD) of 681 and 10000.
Now, divide both the numerator and the denominator by their GCD:
681 ÷ 40
10000 ÷ 40
=
17.025
250
So, 0.0681 as a fraction is 17.025/250
Step 4: Combine the Whole Number and FractionNow that you have 0.0681 = 0 + 0.0681, express the entire number as a mixed fraction:
0.0681
= 0 +
17.025
250
=
0
250
+
17.025
250
=
17.025
250
Here, 0/250 is the whole number 0, and 17.025/250 is the fractional part.
Final Result: Fraction Form of 0.0681 After simplifying, we get the final fraction:
Answer: 0.0681 = 17.025/250
Converting 0.0681 to a fraction results in 17.025/250. 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.