Answer: 0.2524 as a fraction is 631/2500
Converting the decimal number 0.2524 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 0.2524 can be broken down as:
0.2524 = 0 + 0.2524
Here, 0 is the whole number part, and 0.2524 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2524, to a fraction. To do this, consider the place value of the decimal:
0.2524 =
2524
10000
Now, simplify the fraction 2524/10000. To do this, find the greatest common divisor (GCD) of 2524 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2524 ÷ 4
10000 ÷ 4
=
631
2500
So, 0.2524 as a fraction is 631/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.2524 = 0 + 0.2524, express the entire number as a mixed fraction:
0.2524
= 0 +
631
2500
=
0
2500
+
631
2500
=
631
2500
Here, 0/2500 is the whole number 0, and 631/2500 is the fractional part.
Final Result: Fraction Form of 0.2524 After simplifying, we get the final fraction:
Answer: 0.2524 = 631/2500
Converting 0.2524 to a fraction results in 631/2500. 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.