Question

How do you divide `.12` by `8`?

Answer 1

See a solution process below:

Explanation:

We can write `0.12 -: 8` as `0.12/8`

Next, we can multiply this by the appropriate form of `1` to eliminate the decimal:

`10/100 xx 0.12/8 => (100 xx 0.12)/(100 xx 8) => 12/800`

We can now factor this and eliminate common terms giving:

`12/800 => (4 xx 3)/(4 xx 200) => (color(red)(cancel(color(black)(4))) xx 3)/(color(red)(cancel(color(black)(4))) xx 200) => 3/200`

We can now multiply this by another form of `1` giving:

`5/5 xx 3/200 => (5 xx 3)/(5 xx 200) => 15/1000`

15 thousandths can be written as: `0.015`