Answer: 0.2544 as a fraction is 159/625
Converting the decimal number 0.2544 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 0.2544 can be broken down as:
0.2544 = 0 + 0.2544
Here, 0 is the whole number part, and 0.2544 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2544, to a fraction. To do this, consider the place value of the decimal:
0.2544 =
2544
10000
Now, simplify the fraction 2544/10000. To do this, find the greatest common divisor (GCD) of 2544 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2544 ÷ 16
10000 ÷ 16
=
159
625
So, 0.2544 as a fraction is 159/625
Step 4: Combine the Whole Number and FractionNow that you have 0.2544 = 0 + 0.2544, express the entire number as a mixed fraction:
0.2544
= 0 +
159
625
=
0
625
+
159
625
=
159
625
Here, 0/625 is the whole number 0, and 159/625 is the fractional part.
Final Result: Fraction Form of 0.2544 After simplifying, we get the final fraction:
Answer: 0.2544 = 159/625
Converting 0.2544 to a fraction results in 159/625. 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.