Answer: 0.0281 as a fraction is 281/10000
Converting the decimal number 0.0281 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 0.0281 can be broken down as:
0.0281 = 0 + 0.0281
Here, 0 is the whole number part, and 0.0281 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.0281, to a fraction. To do this, consider the place value of the decimal:
0.0281 =
281
10000
Now, simplify the fraction 281/10000. To do this, find the greatest common divisor (GCD) of 281 and 10000.
Now, divide both the numerator and the denominator by their GCD:
281 ÷ 1
10000 ÷ 1
=
281
10000
So, 0.0281 as a fraction is 281/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.0281 = 0 + 0.0281, express the entire number as a mixed fraction:
0.0281
= 0 +
281
10000
=
0
10000
+
281
10000
=
281
10000
Here, 0/10000 is the whole number 0, and 281/10000 is the fractional part.
Final Result: Fraction Form of 0.0281 After simplifying, we get the final fraction:
Answer: 0.0281 = 281/10000
Converting 0.0281 to a fraction results in 281/10000. 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.