Answer: 0.2485 as a fraction is 497/2000
Converting the decimal number 0.2485 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 0.2485 can be broken down as:
0.2485 = 0 + 0.2485
Here, 0 is the whole number part, and 0.2485 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2485, to a fraction. To do this, consider the place value of the decimal:
0.2485 =
2485
10000
Now, simplify the fraction 2485/10000. To do this, find the greatest common divisor (GCD) of 2485 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2485 ÷ 5
10000 ÷ 5
=
497
2000
So, 0.2485 as a fraction is 497/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.2485 = 0 + 0.2485, express the entire number as a mixed fraction:
0.2485
= 0 +
497
2000
=
0
2000
+
497
2000
=
497
2000
Here, 0/2000 is the whole number 0, and 497/2000 is the fractional part.
Final Result: Fraction Form of 0.2485 After simplifying, we get the final fraction:
Answer: 0.2485 = 497/2000
Converting 0.2485 to a fraction results in 497/2000. 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.