Question

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

Answer 1

`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`