What is 0.2874 as a fraction in simplest form.

Converting the decimal number 0.2874 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.

How to write 0.2874 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.2874 can be broken down as:

Here, 0 is the whole number part, and 0.2874 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2874, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 2874/10000. To do this, find the greatest common divisor (GCD) of 2874 and 10000.

• The GCD of 2874 and 10000 is 2.

Now, divide both the numerator and the denominator by their GCD:

So, 0.2874 as a fraction is 1437/5000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.2874 = 0 + 0.2874, express the entire number as a mixed fraction:

Here, 0/5000 is the whole number 0, and 1437/5000 is the fractional part.

Final Result Answer

Fraction Form of 0.2874 After simplifying, we get the final fraction:

Conclusion

Converting 0.2874 to a fraction results in 1437/5000. 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.