Answer: 0.2595 as a fraction is 519/2000
Converting the decimal number 0.2595 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 0.2595 can be broken down as:
0.2595 = 0 + 0.2595
Here, 0 is the whole number part, and 0.2595 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2595, to a fraction. To do this, consider the place value of the decimal:
0.2595 =
2595
10000
Now, simplify the fraction 2595/10000. To do this, find the greatest common divisor (GCD) of 2595 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2595 ÷ 5
10000 ÷ 5
=
519
2000
So, 0.2595 as a fraction is 519/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.2595 = 0 + 0.2595, express the entire number as a mixed fraction:
0.2595
= 0 +
519
2000
=
0
2000
+
519
2000
=
519
2000
Here, 0/2000 is the whole number 0, and 519/2000 is the fractional part.
Final Result: Fraction Form of 0.2595 After simplifying, we get the final fraction:
Answer: 0.2595 = 519/2000
Converting 0.2595 to a fraction results in 519/2000. 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.