Answer: 0.2747 as a fraction is 2747/10000
Converting the decimal number 0.2747 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 0.2747 can be broken down as:
0.2747 = 0 + 0.2747
Here, 0 is the whole number part, and 0.2747 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2747, to a fraction. To do this, consider the place value of the decimal:
0.2747 =
2747
10000
Now, simplify the fraction 2747/10000. To do this, find the greatest common divisor (GCD) of 2747 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2747 ÷ 1
10000 ÷ 1
=
2747
10000
So, 0.2747 as a fraction is 2747/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.2747 = 0 + 0.2747, express the entire number as a mixed fraction:
0.2747
= 0 +
2747
10000
=
0
10000
+
2747
10000
=
2747
10000
Here, 0/10000 is the whole number 0, and 2747/10000 is the fractional part.
Final Result: Fraction Form of 0.2747 After simplifying, we get the final fraction:
Answer: 0.2747 = 2747/10000
Converting 0.2747 to a fraction results in 2747/10000. 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.