Answer: 0.2568 as a fraction is 2568/10000
Converting the decimal number 0.2568 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 0.2568 can be broken down as:
0.2568 = 0 + 0.2568
Here, 0 is the whole number part, and 0.2568 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2568, to a fraction. To do this, consider the place value of the decimal:
0.2568 =
2568
10000
Now, simplify the fraction 2568/10000. To do this, find the greatest common divisor (GCD) of 2568 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2568 ÷ 1
10000 ÷ 1
=
2568
10000
So, 0.2568 as a fraction is 2568/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.2568 = 0 + 0.2568, express the entire number as a mixed fraction:
0.2568
= 0 +
2568
10000
=
0
10000
+
2568
10000
=
2568
10000
Here, 0/10000 is the whole number 0, and 2568/10000 is the fractional part.
Final Result: Fraction Form of 0.2568 After simplifying, we get the final fraction:
Answer: 0.2568 = 2568/10000
Converting 0.2568 to a fraction results in 2568/10000. 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.