Can someone help me? im not really good with slope

Divide the following fractions 3/4 ÷ 2/3 1/2 8/9 9/8 2

Agraphic designer created a logo on eight and a half by 11 inch paper. in order to be placed on a business card, the logo needs to be one and 7/10 inches by 2 and 1/5 in. what is the scale factor of the dilation

Can someone me with #s 8, 9, and 11. with just one of the three also works. prove using only trig identities.