What is 1.2241 as a fraction in simplest form.

Converting the decimal number 1.2241 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 1.2241 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 1.2241 can be broken down as:

Here, 1 is the whole number part, and 0.2241 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.2241, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 2241/10000. To do this, find the greatest common divisor (GCD) of 2241 and 10000.

• The GCD of 2241 and 10000 is 80.

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

So, 0.2241 as a fraction is 28.0125/125

Step 4: Combine the Whole Number and Fraction

Now that you have 1.2241 = 1 + 0.2241, express the entire number as a mixed fraction:

Here, 125/125 is the whole number 1, and 28.0125/125 is the fractional part.

Final Result Answer

Fraction Form of 1.2241 After simplifying, we get the final fraction:

Conclusion

Converting 1.2241 to a fraction results in 153.0125/125. 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.