Решите уравнение: 1) 2 2/11 х - 5/16 = 1 3/4; 4) 1/3 х + 1/4 х + 1/5 х = 1 19/75; 2) 4 2/9 х + 3 5/14 = 6 11/21; 5) 4 1/2 : х + 1 3/4 = 3 19/28; 3) 11/18 - 14/27 х = 5/12; 6) 3 2/3 : (х - 2 4/15) = 3 5/13.

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Математика

3 октября, 02:56

Решите уравнение: 1) 2 2/11 х - 5/16 = 1 3/4; 4) 1/3 х + 1/4 х + 1/5 х = 1 19/75; 2) 4 2/9 х + 3 5/14 = 6 11/21; 5) 4 1/2 : х + 1 3/4 = 3 19/28; 3) 11/18 - 14/27 х = 5/12; 6) 3 2/3 : (х - 2 4/15) = 3 5/13.

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Макар Нечаев · Answer 1

1) 2 2/11 х - 5/16 = 1 3/4; 2 2/11 х = 1 3/4 + 5/16; 2 2/11 х = 28/16 + 5/16;

2 2/11 х = 33/16; х=33/16 * 11/24; х=11/16 * 11/8; х = 121/128

2) 4 2/9 х + 3 5/14 = 6 11/21; 4 2/9 х = 6 11/21 - 3 5/14; 4 2/9 х=3 11/21 - 5/14;

4 2/9 х=3 (22-15) / 42; 4 2/9 х=3 1/6; х=19/6 * 9/38; х=1/2 * 3/2; х=3/4

3) 11/18 - 14/27 х = 5/12; 14/27 х = 11/18 - 5/12; 14/27 х = (22-15) / 36; 14/27 х=7/36;

х=7/36 * 27/14; х=1/4 * 3/2; х=3/8

4) 1/3 х + 1/4 х + 1/5 х = 1 19/75; (1/3+1/4+1/5) х = 1 19/75; (20+15+12) / 60 х=94/75;

47/60 х=94/75; х=94/75 * 60/47; х=2/5 * 4/1; х=8/5=1 3/5

5) 4 1/2 : х + 1 3/4 = 3 19/28; 4 1/2 : х = 3 19/28 - 1 3/4; 9/2 : х = 2 19/28 - 3/4;

9/2 : х = 1 13/14; х=9/2 * 14/27; х=1/1 * 7/3; х=7/3=2 1/3

6) 3 2/3 : (х - 2 4/15) = 3 5/13; х - 2 4/15 = 3 2/3 : 3 5/13; х - 2 4/15 = 11/3 * 13/44;

х - 2 4/15 = 1/3 * 13/4; х - 2 4/15 = 13/12; х - 2 4/15 = 1 1/12; х=1 1/12 + 2 4/15;

х=3 + (5+16) / 60; х=3+21/60; х=3 7/20