What is #2 1/2 -: 3/8#?

1 Answer
Mar 12, 2016

#2 1/2-:3/8=color(blue)(6 2/3)#

Explanation:

#2 1/2-:3/8#

Convert #2 1/2# to an improper fraction by multiplying the denominator by the whole number, then adding the numerator, and set it all over #2#.

#2 1/2=(2xx2+1)/2=5/2#

Rewrite the expression.

#5/2-:3/8#

When dividing a number by a fraction, invert the fraction and multiply.

#5/2xx8/3#

Simplify.

#40/6#

Simplify.

#20/3#

Convert #20/3# to a mixed fraction.

Divide #20# by #3#. This results in #6# with a remainder of #2#. Place the remainder over #3#.

#6 2/3#