What is 0.9750 as a fraction in simplest form.

Converting the decimal number 0.9750 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 0.9750 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.9750 can be broken down as:

Here, 0 is the whole number part, and 0.975 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.975, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 975/1000. To do this, find the greatest common divisor (GCD) of 975 and 1000.

• The GCD of 975 and 1000 is 25.

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

So, 0.975 as a fraction is 39/40

Step 4: Combine the Whole Number and Fraction

Now that you have 0.9750 = 0 + 0.975, express the entire number as a mixed fraction:

Here, 0/40 is the whole number 0, and 39/40 is the fractional part.

Final Result Answer

Fraction Form of 0.9750 After simplifying, we get the final fraction:

Conclusion

Converting 0.9750 to a fraction results in 39/40. 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.