How do you divide #1\frac { 2} { 3} \div \frac { 2} { 3} #?

1 Answer
Nov 20, 2016

#5/2#

Explanation:

Easiest way is to first change #1 2/3# to the improper fraction #5/3#.

Dividing one fraction by the other is the same thing as multiplying it by the reciprocal of the second. This means flipping the fraction upside down.
#5/3divide2/3=5/3*3/2 #
Now just multiply. You multiply fractions by multiplying the numerators across and the denominators across, forming another fraction.
#5/3*3/2=15/6#
And finally simplify.
#15/6=2.5#