Answer: 0.2457 as a fraction is 2457/10000
Converting the decimal number 0.2457 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 0.2457 can be broken down as:
0.2457 = 0 + 0.2457
Here, 0 is the whole number part, and 0.2457 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2457, to a fraction. To do this, consider the place value of the decimal:
0.2457 =
2457
10000
Now, simplify the fraction 2457/10000. To do this, find the greatest common divisor (GCD) of 2457 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2457 ÷ 1
10000 ÷ 1
=
2457
10000
So, 0.2457 as a fraction is 2457/10000
Step 4: Combine the Whole Number and FractionNow that you have 0.2457 = 0 + 0.2457, express the entire number as a mixed fraction:
0.2457
= 0 +
2457
10000
=
0
10000
+
2457
10000
=
2457
10000
Here, 0/10000 is the whole number 0, and 2457/10000 is the fractional part.
Final Result: Fraction Form of 0.2457 After simplifying, we get the final fraction:
Answer: 0.2457 = 2457/10000
Converting 0.2457 to a fraction results in 2457/10000. 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.