Answer: 0.2535 as a fraction is 507/2000
Converting the decimal number 0.2535 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 0.2535 can be broken down as:
0.2535 = 0 + 0.2535
Here, 0 is the whole number part, and 0.2535 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2535, to a fraction. To do this, consider the place value of the decimal:
0.2535 =
2535
10000
Now, simplify the fraction 2535/10000. To do this, find the greatest common divisor (GCD) of 2535 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2535 ÷ 5
10000 ÷ 5
=
507
2000
So, 0.2535 as a fraction is 507/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.2535 = 0 + 0.2535, express the entire number as a mixed fraction:
0.2535
= 0 +
507
2000
=
0
2000
+
507
2000
=
507
2000
Here, 0/2000 is the whole number 0, and 507/2000 is the fractional part.
Final Result: Fraction Form of 0.2535 After simplifying, we get the final fraction:
Answer: 0.2535 = 507/2000
Converting 0.2535 to a fraction results in 507/2000. 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.