Asked by Anonymous
A sum of money is shared in three brothers the eldest received 7/13 of it amd the next received 2/3 of the remainder what does the fraction thr third brother Money
Answers
Answered by
Bosnian
If the oldest received 7 / 13 remainder is:
1 - 7 / 13 = 13 / 13 - 7 / 13 = 6 / 13
The next received 2 / 3 of the remainder means, the next received:
2 / 3 ∙ 6 / 13 = 2 ∙ 6 / 3 ∙ 13 = 12 / 3 ∙ 13 = 3 ∙ 4 / 3 ∙ 13 = 4 / 13
The third brother received:
1 - 7 / 13 - 4 / 13 = 13 / 13 - 7 / 13 - 4 / 13 = ( 13 - 7 - 4 ) / 13 = 2 / 13
1 - 7 / 13 = 13 / 13 - 7 / 13 = 6 / 13
The next received 2 / 3 of the remainder means, the next received:
2 / 3 ∙ 6 / 13 = 2 ∙ 6 / 3 ∙ 13 = 12 / 3 ∙ 13 = 3 ∙ 4 / 3 ∙ 13 = 4 / 13
The third brother received:
1 - 7 / 13 - 4 / 13 = 13 / 13 - 7 / 13 - 4 / 13 = ( 13 - 7 - 4 ) / 13 = 2 / 13
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