Question

a picture has dimensions of 5 cm by 10 cm. IF you want to enlarge the picture to a size of 32 1/2 cm x 65 cm by what fraction would you multiply the dimension

Answer 1

Picture 1: 5 by 10
Picture 2: 32.5 by 65
Divide two lengths or two widths.
65/10= 6.5
That is the ratio. 
To check, multiply the width of Picture 1 by the ratio and see if it gives you the second picture's width.
5 x 6.5=32.5
Hope this helps.