What is 0.2984 as a fraction in simplest form.

Converting the decimal number 0.2984 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 0.2984 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.2984 can be broken down as:

Here, 0 is the whole number part, and 0.2984 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2984, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 2984/10000. To do this, find the greatest common divisor (GCD) of 2984 and 10000.

• The GCD of 2984 and 10000 is 8.

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

So, 0.2984 as a fraction is 373/1250

Step 4: Combine the Whole Number and Fraction

Now that you have 0.2984 = 0 + 0.2984, express the entire number as a mixed fraction:

Here, 0/1250 is the whole number 0, and 373/1250 is the fractional part.

Final Result Answer

Fraction Form of 0.2984 After simplifying, we get the final fraction:

Conclusion

Converting 0.2984 to a fraction results in 373/1250. 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.