Question

Express 4.999999...as a fraction in simolest form

Answer 1

(The decimal has been shortened for easier viewing)

Let x equal to the decimal.

x = 4.9

As the recurring (repeating) number is 9, write 9 at the left side of the decimal point after multiplying both sides of the equation by 10.

10x = 49.9

Now, write another equation with the recurring numbers at the right side of the decimal point.

x = 4.9

Subtract x from 10x and 4.9 from 49.9.

10x - x = 49.9 - 4.9

9x = 45

Move 9 over to 45 and divide.

x = 5

Therefore, the decimal in its simplest form is 5 (or 5/1).