Asked by Icon
A man travelled 35³/5 km nd then 27⅔km.find the total distance of the journey
Answers
Answered by
Bosnian
35 3/5 = 35 + 3 / 5 = 5 ∙ 35 / 5 + 3 / 5 = 175 / 5 + 3 / 5 = 178 / 5
27 2/3 = 27 + 2 / 3 = 3 ∙ 27 / 3 + 2 / 3 = 81 / 3 + 2 / 3 = 83 / 3
Total distance of the journey = 35 3/5 + 27 2/3 = 178 / 5 + 83 / 3 =
3 ∙ 178 / 3 ∙ 5 + 5 ∙ 83 / 5 ∙ 3 = 534 / 15 + 415 / 15 = 949 / 15
You can also write it as:
949 / 15 = 63 ∙ 15 / 15 + 4 / 15 = 63 + 4 / 15 = 63 4/15
Total distance of the journey = 949 / 15 km = 63 4/15 km
27 2/3 = 27 + 2 / 3 = 3 ∙ 27 / 3 + 2 / 3 = 81 / 3 + 2 / 3 = 83 / 3
Total distance of the journey = 35 3/5 + 27 2/3 = 178 / 5 + 83 / 3 =
3 ∙ 178 / 3 ∙ 5 + 5 ∙ 83 / 5 ∙ 3 = 534 / 15 + 415 / 15 = 949 / 15
You can also write it as:
949 / 15 = 63 ∙ 15 / 15 + 4 / 15 = 63 + 4 / 15 = 63 4/15
Total distance of the journey = 949 / 15 km = 63 4/15 km
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