Answer: 0.2555 as a fraction is 511/2000
Converting the decimal number 0.2555 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 0.2555 can be broken down as:
0.2555 = 0 + 0.2555
Here, 0 is the whole number part, and 0.2555 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2555, to a fraction. To do this, consider the place value of the decimal:
0.2555 =
2555
10000
Now, simplify the fraction 2555/10000. To do this, find the greatest common divisor (GCD) of 2555 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2555 ÷ 5
10000 ÷ 5
=
511
2000
So, 0.2555 as a fraction is 511/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.2555 = 0 + 0.2555, express the entire number as a mixed fraction:
0.2555
= 0 +
511
2000
=
0
2000
+
511
2000
=
511
2000
Here, 0/2000 is the whole number 0, and 511/2000 is the fractional part.
Final Result: Fraction Form of 0.2555 After simplifying, we get the final fraction:
Answer: 0.2555 = 511/2000
Converting 0.2555 to a fraction results in 511/2000. 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.