Question

Write 7.3939393939... as a mixed number in simplest form

Answer 1

To write it as a mixed number we need to write the number as a fraction.

First, we can rewrite the number as:

`7.\bar{39}`

So, the numerator is going to be the subtraction of the integer part from the number above without the decimal point and the denominator is going to be the number 99 because the repeating part has 2 decimal places.

`7.\bar{39}=(739-7)/(99)=(732)/(99)`

Simplifying the fraction, we get:

`(732)/(99)=(244)/(33)`

Then, if we make the division of 244 by 33, we get a quotient of 7 and a remainder of 13, so the mixed number in simplest form is:

`7(13)/(33)`

Answer: 7 13/33