How do you evaluate #4 2/7 - 1/6#?

1 Answer
Jul 16, 2016

You can convert the numbers to fractions and add them up

Explanation:

#4 2/7=4+2/7=28/7+2/7#, since #4=28/7#

Observe that we have chosen the denominator #7# carefully, because now we have:

#4+2/7=28/7+2/7=30/7#. And now we can subtract:

#30/7-1/6=180/42-7/42# where again we have chosen #42# as the denominator because both #7# and #6# divide #42#. Now we then have:

#30/7-1/6=180/42-7/42=173/42#, or if you prefer #4 5/42#, both are correct answers