What is 2.1310 as a fraction in simplest form.

Converting the decimal number 2.1310 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 2.1310 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 2.1310 can be broken down as:

Here, 2 is the whole number part, and 0.131 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.131, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 131/1000. To do this, find the greatest common divisor (GCD) of 131 and 1000.

• The GCD of 131 and 1000 is 10.

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

So, 0.131 as a fraction is 13.1/100

Step 4: Combine the Whole Number and Fraction

Now that you have 2.1310 = 2 + 0.131, express the entire number as a mixed fraction:

Here, 200/100 is the whole number 2, and 13.1/100 is the fractional part.

Final Result Answer

Fraction Form of 2.1310 After simplifying, we get the final fraction:

Conclusion

Converting 2.1310 to a fraction results in 213.1/100. 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.