Answer: 0.2721 as a fraction is 2721/10000
Converting the decimal number 0.2721 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 0.2721 can be broken down as:
0.2721 = 0 + 0.2721
Here, 0 is the whole number part, and 0.2721 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2721, to a fraction. To do this, consider the place value of the decimal:
0.2721 =
2721
10000
Now, simplify the fraction 2721/10000. To do this, find the greatest common divisor (GCD) of 2721 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2721 ÷ 1
10000 ÷ 1
=
2721
10000
So, 0.2721 as a fraction is 2721/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.2721 = 0 + 0.2721, express the entire number as a mixed fraction:
0.2721
= 0 +
2721
10000
=
0
10000
+
2721
10000
=
2721
10000
Here, 0/10000 is the whole number 0, and 2721/10000 is the fractional part.
Final Result: Fraction Form of 0.2721 After simplifying, we get the final fraction:
Answer: 0.2721 = 2721/10000
Converting 0.2721 to a fraction results in 2721/10000. 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.