Answer: 0.2542 as a fraction is 1271/5000
Converting the decimal number 0.2542 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 0.2542 can be broken down as:
0.2542 = 0 + 0.2542
Here, 0 is the whole number part, and 0.2542 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2542, to a fraction. To do this, consider the place value of the decimal:
0.2542 =
2542
10000
Now, simplify the fraction 2542/10000. To do this, find the greatest common divisor (GCD) of 2542 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2542 ÷ 2
10000 ÷ 2
=
1271
5000
So, 0.2542 as a fraction is 1271/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.2542 = 0 + 0.2542, express the entire number as a mixed fraction:
0.2542
= 0 +
1271
5000
=
0
5000
+
1271
5000
=
1271
5000
Here, 0/5000 is the whole number 0, and 1271/5000 is the fractional part.
Final Result: Fraction Form of 0.2542 After simplifying, we get the final fraction:
Answer: 0.2542 = 1271/5000
Converting 0.2542 to a fraction results in 1271/5000. 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.