Put the ratios 324:8; 410:10; 297:6;...

Problema Solution

Put the ratios 324:8; 410:10; 297:6; 502:9; and 450:8 in order from largest to smallest.

324/8 = (4*81)/(2*4) = 81/2

410/10 = (41*10)/10 = 41

297/6 = (3*99)/(3*2) = 99/2

502/9

450/8 = (2*225)/(2*4) = 225/4

we need to make the denominators the same

LCM(2, 1, 2, 9, 4) = LCM(2, 4, 9) = 36

324/8 = 81/2 = (81*18)/(2*18) = 1458/36

410/10 = 41 = (36*41)/36 = 1476/36

297/6 = 99/2 = (99*18)/(2*18) = 1782/36

502/9 = (504*4)/(4*9) = 2016/36

450/8 = 225/4 = (225*9)/(4*9) = 2025/36

thus the order from largest to smallest is

450/8 > 502/9 > 297/6 > 410/10 > 324/8

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