Question

4 3/14-(1/2*x+2 1/6):6 2/3= 3 5/7

Answer 1

4 3/14 - (1/2 * х + 2 1/6) : 6 2/3 = 3 5/7
(1/2 * х + 2 1/6) : 6 2/3 = 4 3/14 - 3 5/7
(1/2 * х + 2 1/6) : 6 2/3 = 1/2
1/2 * х + 2 1/6 = 1/2 * 6 2/3
1/2 * х + 2 1/6 = 3 1/3
1/2 * х = 3 1/3 - 2 1/6
1/2 * х = 1 1/6
х = 1 1/6 : 1/2
х = 7/6 * 2
х = 7/3
х = 2 целых 1/3
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Пояснения:
4 3/14 - 3 5/7 = 3 17/14 - 3 10/14 = 7/14 = 1/2
1/2 * 6 2/3 = 1/2 * 20/3 = 20/6 = 3 2/6 = 3 1/3
3 1/3 - 2 1/6 = 3 2/6 - 2 1/6 = 1 1/6
1 1/6 : 1/2 = 7/6 * 2/1 = (7*1)/(3*1) = 7/3 = 2 1/3