What is 0.2574 as a fraction in simplest form.

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 Decimal

The 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 Fraction

Focus on converting the decimal part, 0.2574, to a fraction. To do this, consider the place value of the decimal:

0.2574 =

2574

10000


Step 3: Simplify the Fraction

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 Fraction

Now 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



Conclusion

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.

Calculated Values List