8/9=4/5k how to solve

Divide both sides by 4/5 or multiply by the reciprocal.

Flip 4/5 to get the reciprocal.

The reciprocal of 4/5 is 5/4 so we will multiply both sides by that.

5/4 * 8/9 = 4/5 * 5/4 * k

4/5 and 5/4 cancel out so now you have

5/4 * 8/9 = k

multiply top and bottom

(5 * 8) / (4*9)

40/36

Simplify

10/9