Answer: 0.2494 as a fraction is 1247/5000
Converting the decimal number 0.2494 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 0.2494 can be broken down as:
0.2494 = 0 + 0.2494
Here, 0 is the whole number part, and 0.2494 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2494, to a fraction. To do this, consider the place value of the decimal:
0.2494 =
2494
10000
Now, simplify the fraction 2494/10000. To do this, find the greatest common divisor (GCD) of 2494 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2494 ÷ 2
10000 ÷ 2
=
1247
5000
So, 0.2494 as a fraction is 1247/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.2494 = 0 + 0.2494, express the entire number as a mixed fraction:
0.2494
= 0 +
1247
5000
=
0
5000
+
1247
5000
=
1247
5000
Here, 0/5000 is the whole number 0, and 1247/5000 is the fractional part.
Final Result: Fraction Form of 0.2494 After simplifying, we get the final fraction:
Answer: 0.2494 = 1247/5000
Converting 0.2494 to a fraction results in 1247/5000. 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.