Answer: 0.2748 as a fraction is 687/2500
Converting the decimal number 0.2748 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 0.2748 can be broken down as:
0.2748 = 0 + 0.2748
Here, 0 is the whole number part, and 0.2748 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2748, to a fraction. To do this, consider the place value of the decimal:
0.2748 =
2748
10000
Now, simplify the fraction 2748/10000. To do this, find the greatest common divisor (GCD) of 2748 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2748 ÷ 4
10000 ÷ 4
=
687
2500
So, 0.2748 as a fraction is 687/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.2748 = 0 + 0.2748, express the entire number as a mixed fraction:
0.2748
= 0 +
687
2500
=
0
2500
+
687
2500
=
687
2500
Here, 0/2500 is the whole number 0, and 687/2500 is the fractional part.
Final Result: Fraction Form of 0.2748 After simplifying, we get the final fraction:
Answer: 0.2748 = 687/2500
Converting 0.2748 to a fraction results in 687/2500. 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.