Answer: 0.2388 as a fraction is 597/2500
Converting the decimal number 0.2388 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 0.2388 can be broken down as:
0.2388 = 0 + 0.2388
Here, 0 is the whole number part, and 0.2388 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2388, to a fraction. To do this, consider the place value of the decimal:
0.2388 =
2388
10000
Now, simplify the fraction 2388/10000. To do this, find the greatest common divisor (GCD) of 2388 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2388 ÷ 4
10000 ÷ 4
=
597
2500
So, 0.2388 as a fraction is 597/2500
Step 4: Combine the Whole Number and FractionNow that you have 0.2388 = 0 + 0.2388, express the entire number as a mixed fraction:
0.2388
= 0 +
597
2500
=
0
2500
+
597
2500
=
597
2500
Here, 0/2500 is the whole number 0, and 597/2500 is the fractional part.
Final Result: Fraction Form of 0.2388 After simplifying, we get the final fraction:
Answer: 0.2388 = 597/2500
Converting 0.2388 to a fraction results in 597/2500. 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.