Answer: 0.2460 as a fraction is 123/500
Converting the decimal number 0.2460 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 0.2460 can be broken down as:
0.2460 = 0 + 0.246
Here, 0 is the whole number part, and 0.246 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.246, to a fraction. To do this, consider the place value of the decimal:
0.246 =
246
1000
Now, simplify the fraction 246/1000. To do this, find the greatest common divisor (GCD) of 246 and 1000.
Now, divide both the numerator and the denominator by their GCD:
246 ÷ 2
1000 ÷ 2
=
123
500
So, 0.246 as a fraction is 123/500
Step 4: Combine the Whole Number and FractionNow that you have 0.2460 = 0 + 0.246, express the entire number as a mixed fraction:
0.2460
= 0 +
123
500
=
0
500
+
123
500
=
123
500
Here, 0/500 is the whole number 0, and 123/500 is the fractional part.
Final Result: Fraction Form of 0.2460 After simplifying, we get the final fraction:
Answer: 0.2460 = 123/500
Converting 0.2460 to a fraction results in 123/500. 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.