Решите уравнение: 1) (х+5/12) - 9/20=11/15; 2) (х-11/30) - 16/45=2/9; 3) (х-7/15) + 5/8=17/24; 5) 4 3/4 - (х - 2 5/8) = 3 5/6; 4) 4/5 - (х+1/60) = 2/3; 6) 9 9/28 - (4 5/21 - х) = 6 2/7.

Question

Лада Лукьянова

Математика

25 сентября, 08:49

Решите уравнение: 1) (х+5/12) - 9/20=11/15; 2) (х-11/30) - 16/45=2/9; 3) (х-7/15) + 5/8=17/24; 5) 4 3/4 - (х - 2 5/8) = 3 5/6; 4) 4/5 - (х+1/60) = 2/3; 6) 9 9/28 - (4 5/21 - х) = 6 2/7.

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Альтар · Answer 1

1) (х+5/12) - 9/20=11/15; х+5/12=11/15+9/20; х+5/12 = (11*4+9*3) / 60;

х+5/12 = (44+27) / 60; х+5/12=71/60; х=71/60-5/12; х=71/60-25/60; х=46/60=23/30;

2) (х-11/30) - 16/45=2/9; х-11/30=2/9+16/45; х-11/30=10/45+16/45;

х-11/30 = 26/45; х=26/45+11/30; х=52/90+33/90=85/90=17/18;

3) (х-7/15) + 5/8=17/24; х-7/15=17/24-5/8; х-7/15=17/24-15/24; х-7/15=2/24=1/12;

х=1/12+7/15=5/60+28/60=33/60=11/20;

4) 4/5 - (х+1/60) = 2/3; (х+1/60) = 4/5-2/3=12/15-10/15=2/15; х=2/15-1/60=8/60-1/60=7/60

5) 4 3/4 - (х - 2 5/8) = 3 5/6; х-2 5/8 = 4 3/4 - 3 5/6=1 9/12-10/12=21/12-10/12=11/12;

х=11/12+2 5/8=22/24+2 15/24 = 2 + 37/24 = 3 13/24;

6) 9 9/28 - (4 5/21 - х) = 6 2/7; 4 5/21 - х=9 9/28-6 2/7=3 9/28-8/28=3 1/28;

х=4 5/21-3 1/28 = 1 5/21-1/28=26/21-1/28 = (26*4-1*3) / 84 = (104-3) / 84=101/84=1 17/84.