What is 0.7960 as a fraction in simplest form.

Converting the decimal number 0.7960 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 0.7960 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.7960 can be broken down as:

Here, 0 is the whole number part, and 0.796 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.796, to a fraction. To do this, consider the place value of the decimal:

Step 3: Simplify the Fraction

Now, simplify the fraction 796/1000. To do this, find the greatest common divisor (GCD) of 796 and 1000.

• The GCD of 796 and 1000 is 4.

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

So, 0.796 as a fraction is 199/250

Step 4: Combine the Whole Number and Fraction

Now that you have 0.7960 = 0 + 0.796, express the entire number as a mixed fraction:

Here, 0/250 is the whole number 0, and 199/250 is the fractional part.

Final Result Answer

Fraction Form of 0.7960 After simplifying, we get the final fraction:

Conclusion

Converting 0.7960 to a fraction results in 199/250. 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.