What is 0.9770 as a fraction in simplest form.

Converting the decimal number 0.9770 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 0.9770 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.9770 can be broken down as:

Here, 0 is the whole number part, and 0.977 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.977, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 977/1000. To do this, find the greatest common divisor (GCD) of 977 and 1000.

• The GCD of 977 and 1000 is 1.

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

So, 0.977 as a fraction is 977/1000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.9770 = 0 + 0.977, express the entire number as a mixed fraction:

Here, 0/1000 is the whole number 0, and 977/1000 is the fractional part.

Final Result Answer

Fraction Form of 0.9770 After simplifying, we get the final fraction:

Conclusion

Converting 0.9770 to a fraction results in 977/1000. 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.