Question

I thought of a number, added 4 5/7 to it, and got the number 12 times as big as my original what was my number

Answer 1

3/7

Explanation:

Answer 2

Let's call the number you thought of n. Then what the two steps you took can be written as an equation:

`n+4(5)/(7)=12n`

Subtract n to get all of your variables to one side:

`4(5)/(7)=11n`

At this point, I recommend turning your mixed number into an improper fraction. It will make things easier later on:

`(33)/(7)=11n`

Now divide both sides by 11 to get the value of n:

`(3)/(7)=n`