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

1 Answer
Mar 11, 2018

Answer:

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#