Simplify the ratios 180 : 210 and 150 : 70 : 205

Question

these are ratios please solve them

Answer 1

A ratio may be expressed as a fraction.  It may also be reduced the same way.

     180:210      is  18:21   is   6:7

 

Note that finding the prime factors makes this easy --

     180:210   is    (2*2*3*3*5):(2*3*5*7)    is    6:7               [eliminate common factors]

 

 

    150:70:205    is   (2*3*5*5):(2*5*7):(5*41)    is   30:14:41