Answer: 0.2448 as a fraction is 153/625
Converting the decimal number 0.2448 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 0.2448 can be broken down as:
0.2448 = 0 + 0.2448
Here, 0 is the whole number part, and 0.2448 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2448, to a fraction. To do this, consider the place value of the decimal:
0.2448 =
2448
10000
Now, simplify the fraction 2448/10000. To do this, find the greatest common divisor (GCD) of 2448 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2448 ÷ 16
10000 ÷ 16
=
153
625
So, 0.2448 as a fraction is 153/625
Step 4: Combine the Whole Number and FractionNow that you have 0.2448 = 0 + 0.2448, express the entire number as a mixed fraction:
0.2448
= 0 +
153
625
=
0
625
+
153
625
=
153
625
Here, 0/625 is the whole number 0, and 153/625 is the fractional part.
Final Result: Fraction Form of 0.2448 After simplifying, we get the final fraction:
Answer: 0.2448 = 153/625
Converting 0.2448 to a fraction results in 153/625. 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.