What is 0.9910 as a fraction in simplest form.

Converting the decimal number 0.9910 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 0.9910 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.9910 can be broken down as:

Here, 0 is the whole number part, and 0.991 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.991, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 991/1000. To do this, find the greatest common divisor (GCD) of 991 and 1000.

• The GCD of 991 and 1000 is 1.

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

So, 0.991 as a fraction is 991/1000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.9910 = 0 + 0.991, express the entire number as a mixed fraction:

Here, 0/1000 is the whole number 0, and 991/1000 is the fractional part.

Final Result Answer

Fraction Form of 0.9910 After simplifying, we get the final fraction:

Conclusion

Converting 0.9910 to a fraction results in 991/1000. 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.