What is 2.1201 as a fraction in simplest form.

Converting the decimal number 2.1201 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 2.1201 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 2.1201 can be broken down as:

Here, 2 is the whole number part, and 0.1201 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.1201, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 1201/10000. To do this, find the greatest common divisor (GCD) of 1201 and 10000.

• The GCD of 1201 and 10000 is 400.

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

So, 0.1201 as a fraction is 3.0025/25

Step 4: Combine the Whole Number and Fraction

Now that you have 2.1201 = 2 + 0.1201, express the entire number as a mixed fraction:

Here, 50/25 is the whole number 2, and 3.0025/25 is the fractional part.

Final Result Answer

Fraction Form of 2.1201 After simplifying, we get the final fraction:

Conclusion

Converting 2.1201 to a fraction results in 53.0025/25. 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.