Question

5/6k=4/7 what does k equal?

Answer 1

`\text{Solve for k:}\\\\(5)/(6)k=(4)/(7)\\\\\text{You can multiply both sides by 6/5, cancelling the 5/6 on the left}\\\\(6)/(5)*(5)/(6)k=(4)/(7)*(6)/(5)\\\\k=(4)/(7)*(6)/(5)\\\\\text{Multiply across}\\\\\boxed{k=(24)/(35)}`