What is 0.7999 as a fraction in simplest form.

Answer: 0.7999 as a fraction is 7999/10000

Converting the decimal number 0.7999 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 0.7999 Decimal as a Fraction

Step 1: Understand the Decimal

The decimal 0.7999 can be broken down as:

0.7999 = 0 + 0.7999

Here, 0 is the whole number part, and 0.7999 is the decimal part.

Step 2: Convert the Decimal to a Fraction

Focus on converting the decimal part, 0.7999, to a fraction. To do this, consider the place value of the decimal:

0.7999 =

7999

10000

Step 3: Simplify the Fraction

Now, simplify the fraction 7999/10000. To do this, find the greatest common divisor (GCD) of 7999 and 10000.

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


7999 ÷ 1

10000 ÷ 1

=

7999

10000

So, 0.7999 as a fraction is 7999/10000

Step 4: Combine the Whole Number and Fraction

Now that you have 0.7999 = 0 + 0.7999, express the entire number as a mixed fraction:

0.7999

= 0 +

7999

10000

=

0

10000

+

7999

10000

=

7999

10000

Here, 0/10000 is the whole number 0, and 7999/10000 is the fractional part.

Final Result Answer

Fraction Form of 0.7999 After simplifying, we get the final fraction:

Answer: 0.7999 = 7999/10000

Conclusion

Converting 0.7999 to a fraction results in 7999/10000. 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.

Calculated Values List