Answer: 0.2429 as a fraction is 2429/10000
Converting the decimal number 0.2429 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 0.2429 can be broken down as:
0.2429 = 0 + 0.2429
Here, 0 is the whole number part, and 0.2429 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2429, to a fraction. To do this, consider the place value of the decimal:
0.2429 =
2429
10000
Now, simplify the fraction 2429/10000. To do this, find the greatest common divisor (GCD) of 2429 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2429 ÷ 1
10000 ÷ 1
=
2429
10000
So, 0.2429 as a fraction is 2429/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.2429 = 0 + 0.2429, express the entire number as a mixed fraction:
0.2429
= 0 +
2429
10000
=
0
10000
+
2429
10000
=
2429
10000
Here, 0/10000 is the whole number 0, and 2429/10000 is the fractional part.
Final Result: Fraction Form of 0.2429 After simplifying, we get the final fraction:
Answer: 0.2429 = 2429/10000
Converting 0.2429 to a fraction results in 2429/10000. 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.