Question

simplify the continued ratio x/2:2x/3:5x/2​

Answer 1

$3:4:15$

Step-by-step explanation:

$Given, \: \: \: \frac{x}{2}: \frac{2x}{3} : \frac{5x}{2} \\ Multiply \: \: each \: \: term \: \: by \: \: LCM(2,3,2) = 6 \\ Now, \: \: \: \: \: 6 \times \frac{x}{2}: 6 \times \frac{2x}{3} :6 \times \frac{5x}{2} \\ = 3x: 4x : 15x \\ = 3: 4 : 15$