Question

7/8 turned into a decimal. Show all the work.

Answer 1

The most obvious answer is to write this into a calculator and read the result, but if you're asking this, I'm assuming you're not allowed to.

This fraction can be easily calculated by hand in two ways: either you remember that

`(7)/(8) = (7)/(2^3)`

Which means that dividing by 8 is the same ad dividing by two three times:

`7/ 2 = 3.5,\quad 3.5 / 2 = 1.75,\quad 1.75 / 2 = 0.875`

Or you can think that 7/8 is 1/8 away from one. Just like before, you can compute 1/8 as

`1/ 2 = 0.5,\quad 0.5 / 2 = 0.25,\quad 0.25 / 2 = 0.125`

And so 7/8 is

`(7)/(8) = 1-(1)/(8) = 1-0.125=0.875`

Answer 2

the answer is....0.875