Answer: 0.2395 as a fraction is 479/2000
Converting the decimal number 0.2395 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 0.2395 can be broken down as:
0.2395 = 0 + 0.2395
Here, 0 is the whole number part, and 0.2395 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2395, to a fraction. To do this, consider the place value of the decimal:
0.2395 =
2395
10000
Now, simplify the fraction 2395/10000. To do this, find the greatest common divisor (GCD) of 2395 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2395 ÷ 5
10000 ÷ 5
=
479
2000
So, 0.2395 as a fraction is 479/2000
Step 4: Combine the Whole Number and FractionNow that you have 0.2395 = 0 + 0.2395, express the entire number as a mixed fraction:
0.2395
= 0 +
479
2000
=
0
2000
+
479
2000
=
479
2000
Here, 0/2000 is the whole number 0, and 479/2000 is the fractional part.
Final Result: Fraction Form of 0.2395 After simplifying, we get the final fraction:
Answer: 0.2395 = 479/2000
Converting 0.2395 to a fraction results in 479/2000. 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.