Answer: 0.2436 as a fraction is 609/2500
Converting the decimal number 0.2436 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 0.2436 can be broken down as:
0.2436 = 0 + 0.2436
Here, 0 is the whole number part, and 0.2436 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2436, to a fraction. To do this, consider the place value of the decimal:
0.2436 =
2436
10000
Now, simplify the fraction 2436/10000. To do this, find the greatest common divisor (GCD) of 2436 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2436 ÷ 4
10000 ÷ 4
=
609
2500
So, 0.2436 as a fraction is 609/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.2436 = 0 + 0.2436, express the entire number as a mixed fraction:
0.2436
= 0 +
609
2500
=
0
2500
+
609
2500
=
609
2500
Here, 0/2500 is the whole number 0, and 609/2500 is the fractional part.
Final Result: Fraction Form of 0.2436 After simplifying, we get the final fraction:
Answer: 0.2436 = 609/2500
Converting 0.2436 to a fraction results in 609/2500. 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.