What is the quotient of 6/5 divided by 2/3?

1 Answer
Ernest Z.
Sep 15, 2015

#color(red)((6/5)/(2/3) = 9/5)#

Explanation:

#(6/5)/(2/3) = "?"#

Step 1. Multiply the numerator by the reciprocal of the denominator.

#(6/5)/(2/3) = 6/5 × 3/2 = (6×3)/(5×2)#

Step 2. Simplify by dividing top and bottom by the highest common factor (#2#).

#(6×3)/(5×2) =(3×3)/(5×1)#

∴ #(6/5)/(2/3) = 9/5#

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