Which statement is true?
A: 29/35 < 20/30
B: 18/34 > 16/32
C: 14/21 > 17/24
D: 20/15<28/23
First you must find Least Common Multiple ( LCM ) of denominators.
A:
LCM of 35 and 30 is 210
6 ∙ 29 / 6 ∙ 35 < 7 ∙ 20 / 7 ∙30
174 / 210 < 140 / 210
False
B:
LCM of 34 and 32 is 544
16 ∙ 18 / 16 ∙ 34 > 17 ∙ 16 / 17 ∙ 32
288 / 544 > 272 / 544
True
C:
LCM of 21 and 24 is 168
8 ∙ 14 / 8 ∙ 21 > 7 ∙ 17 / 7 ∙ 24
112 / 168 > 119 / 168
False
D:
LCM of 15 and 23 is 345
20 / 15 < 28 / 23
23 ∙ 20 / 23 ∙ 15 < 15 ∙ 28 / 15 ∙ 23
460 / 345 < 420 / 345
False