Answer: 0.2455 as a fraction is 491/2000
Converting the decimal number 0.2455 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 0.2455 can be broken down as:
0.2455 = 0 + 0.2455
Here, 0 is the whole number part, and 0.2455 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2455, to a fraction. To do this, consider the place value of the decimal:
0.2455 =
2455
10000
Now, simplify the fraction 2455/10000. To do this, find the greatest common divisor (GCD) of 2455 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2455 ÷ 5
10000 ÷ 5
=
491
2000
So, 0.2455 as a fraction is 491/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.2455 = 0 + 0.2455, express the entire number as a mixed fraction:
0.2455
= 0 +
491
2000
=
0
2000
+
491
2000
=
491
2000
Here, 0/2000 is the whole number 0, and 491/2000 is the fractional part.
Final Result: Fraction Form of 0.2455 After simplifying, we get the final fraction:
Answer: 0.2455 = 491/2000
Converting 0.2455 to a fraction results in 491/2000. 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.