Answer: 0.2548 as a fraction is 637/2500
Converting the decimal number 0.2548 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 0.2548 can be broken down as:
0.2548 = 0 + 0.2548
Here, 0 is the whole number part, and 0.2548 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2548, to a fraction. To do this, consider the place value of the decimal:
0.2548 =
2548
10000
Now, simplify the fraction 2548/10000. To do this, find the greatest common divisor (GCD) of 2548 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2548 ÷ 4
10000 ÷ 4
=
637
2500
So, 0.2548 as a fraction is 637/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.2548 = 0 + 0.2548, express the entire number as a mixed fraction:
0.2548
= 0 +
637
2500
=
0
2500
+
637
2500
=
637
2500
Here, 0/2500 is the whole number 0, and 637/2500 is the fractional part.
Final Result: Fraction Form of 0.2548 After simplifying, we get the final fraction:
Answer: 0.2548 = 637/2500
Converting 0.2548 to a fraction results in 637/2500. 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.