Answer: 0.2528 as a fraction is 158/625
Converting the decimal number 0.2528 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 0.2528 can be broken down as:
0.2528 = 0 + 0.2528
Here, 0 is the whole number part, and 0.2528 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2528, to a fraction. To do this, consider the place value of the decimal:
0.2528 =
2528
10000
Now, simplify the fraction 2528/10000. To do this, find the greatest common divisor (GCD) of 2528 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2528 ÷ 16
10000 ÷ 16
=
158
625
So, 0.2528 as a fraction is 158/625
Step 4: Combine the Whole Number and FractionNow that you have 0.2528 = 0 + 0.2528, express the entire number as a mixed fraction:
0.2528
= 0 +
158
625
=
0
625
+
158
625
=
158
625
Here, 0/625 is the whole number 0, and 158/625 is the fractional part.
Final Result: Fraction Form of 0.2528 After simplifying, we get the final fraction:
Answer: 0.2528 = 158/625
Converting 0.2528 to a fraction results in 158/625. 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.