Answer: 0.2432 as a fraction is 152/625
Converting the decimal number 0.2432 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 0.2432 can be broken down as:
0.2432 = 0 + 0.2432
Here, 0 is the whole number part, and 0.2432 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2432, to a fraction. To do this, consider the place value of the decimal:
0.2432 =
2432
10000
Now, simplify the fraction 2432/10000. To do this, find the greatest common divisor (GCD) of 2432 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2432 ÷ 16
10000 ÷ 16
=
152
625
So, 0.2432 as a fraction is 152/625
Step 4: Combine the Whole Number and FractionNow that you have 0.2432 = 0 + 0.2432, express the entire number as a mixed fraction:
0.2432
= 0 +
152
625
=
0
625
+
152
625
=
152
625
Here, 0/625 is the whole number 0, and 152/625 is the fractional part.
Final Result: Fraction Form of 0.2432 After simplifying, we get the final fraction:
Answer: 0.2432 = 152/625
Converting 0.2432 to a fraction results in 152/625. 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.