Q:

Please help me and fast :( Find the rational form of the decimal number.1. 0.552. 0.363. 0.1284. 0.05454545. 0.04666666Type answer below and explain answer.

Accepted Solution

A:
9514 1404 393Answer:11/209/2516/1253/557/150Step-by-step explanation:It is helpful to know the decimal equivalents of 1/9 and 1/11:   1/9 = 0.1111...   1/11 = 0.09090909...__1. 0.55 = 55/100 = 11/202. 0.36 = 36/100 = 9/253. 0.128 = 128/1000 = 16/1254. 0.0545454... = (1/10)(6×1//11) = 6/110 = 3/555. 0.046666... = 4/100 + (1/100)6×1/9 = 1/25 + 1/150 = (6+1)/150 = 7/150_____In 4 and 5, we recognize that ...   0.545454... = 6/11 has been divided by 10 to get 0.0545454...   0.6666... = 6/9 = 2/3 has been divided by 100 to get 0.006666...