Answer: 0.2574 as a fraction is 1287/5000
Converting the decimal number 0.2574 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 0.2574 can be broken down as:
0.2574 = 0 + 0.2574
Here, 0 is the whole number part, and 0.2574 is the decimal part.
Step 2: Convert the Decimal to a FractionFocus on converting the decimal part, 0.2574, to a fraction. To do this, consider the place value of the decimal:
0.2574 =
2574
10000
Now, simplify the fraction 2574/10000. To do this, find the greatest common divisor (GCD) of 2574 and 10000.
Now, divide both the numerator and the denominator by their GCD:
2574 ÷ 2
10000 ÷ 2
=
1287
5000
So, 0.2574 as a fraction is 1287/5000
Step 4: Combine the Whole Number and FractionNow that you have 0.2574 = 0 + 0.2574, express the entire number as a mixed fraction:
0.2574
= 0 +
1287
5000
=
0
5000
+
1287
5000
=
1287
5000
Here, 0/5000 is the whole number 0, and 1287/5000 is the fractional part.
Final Result: Fraction Form of 0.2574 After simplifying, we get the final fraction:
Answer: 0.2574 = 1287/5000
Converting 0.2574 to a fraction results in 1287/5000. 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.