What is #4/5 -: 6 2/3#?

1 Answer
Apr 4, 2016

#=3/25# or #0.12# (if the answer is asked to be in decimal form)

Explanation:

Before answering this type of question you have to change mixed numbers into improper fractions.

#4/5 ÷ (6 * 3 + 2)/3 = 20/3#

Then you apply KOF (Keep, Opposite, Flip)
You Keep the #4/5#, you put the Opposite sign of division, and you Flip the #20/3#

So, you get this:

#4/5 xx 3/20 = (4 * 3)/(5 * 20) = 12/100#

Then simplify the fraction by dividing by #4#, as #12# is #3 xx 4# and #100# is #25 xx 4#; they have a common factor.

The answer will be

#12/100 = 3/25#, or #0.12#