Question

Question #92b0c

Answer 1

`4.70238095238=395/84`

Explanation:

All graphing calculators and most scientific calculators should have a function that converts decimals to fractions.

**TI-83(+) or TI-84(+)(CE):** **
- Enter in the decimal `4.70238095238`
- Press [Math] -> [enter] (make sure you select "`->"Frac"`")
- Press [enter]

Some other calculators have a button "F > < D"

Basic calculators which to not have a decimal to fraction function:
We are trying to find the denominator first, so the strategy is to multiply `4.70238095238` by a number `y` to get a whole number.
`x/y=4.70238095238`
`x=4.70238095238*y`

I tried multiple numbers for `y`, starting with `2` and increasing, looking for `x` value floats that are either repeating decimals or ones that I recognize. I stopped at `y=7` because then `x=32.9166666`. Then I multiplied that by 3 because of the repeating 6 to get `98.75`. I finally multiplied by 4 to get
`x=4.70238095238*(7*3*4)=395`
`4.70238095238=395/84`

*Note: I'm not super familiar with various types of calculators, so let me know if there's a different calculator function that I didn't mention