Which statement is true?

Question

A: 29/35 < 20/30

B: 18/34 > 16/32

C: 14/21 > 17/24

D: 20/15<28/23

Answer 1

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