Q:

Which pair of ratios forms a proportion? (4/5 10/13), (7/8 15/18), and (1/2 14/28)

Accepted Solution

A:
Answer:½ and 14/28  Step-by-step explanation:If a pair of ratio forms a proportion, they are equal. First pair of ratios: 4/5 =10/13 Convert to the least common denominator     (4 × 13)/65 = (10 × 5)/65                                                                                   52/65 ≠ 50/65 The first pair of ratios is not a proportion. Second pair of ratios: 7/8 =15/18 Convert to the least common denominator     (7 × 9)/72 = (15 × 4)/72                                                                                  63/72 ≠ 60/72 The second pair of ratios is not a proportion. Third pair of ratios: ½ =14/28 Convert to the least common denominator     (1 ×14)/28 = 14/28                                                                                  14/28  = 14/28                                                                                        ½ = 14/28 ½ and 14/28 form a proportion.