(-2 1/6 - 3 1/4) : 2 3/5 + 2/3 * 2 1/4 - 5 1/6 = - 5 3/4
1) - 2 1/6 - 3 1/4 = - (2 2/12 + 3 3/12) = - 5 5/12
2) - 5 5/12 : 2 3/5 = - 65/12 : 13/5 = - 65/12 * 5/13 = - (5*5)/(12*1) = - 25/12 = - 2 1/12
3) 2/3 * 2 1/4 = 2/3 * 9/4 = (1*3)/(1*2) = 3/2 = 1 1/2
4) - 2 1/12 + 1 1/2 = - 2 1/12 + 1 6/12 = - (1 13/12 - 1 6/12) = - 7/12
5) - 7/12 - 5 1/6 = - (7/12 + 5 2/12) = - 5 9/12 = - 5 3/4
Пояснения:
1/6 = (1*2)/(6*2) = 2/12 - доп.множ.2
1/4 = (1*3)/(4*3) = 3/12 - доп.множ.3
5 5/12 = (5*12+5)/12 = 65/12
2 3/5 = (2*5+3)/5 = 13/5
2 1/4 = (2*4+1)/4 = 9/4
2 1/12 = 1 13/12
9/12 = (9:3)/(12:3) = 3/4 - сократили на 3
(-2 1/6 - 3 1/4) : 2 3/5 + 2/3 * 2 1/4 - 5 1/6 = - 5 3/4
1) - 2 1/6 - 3 1/4 = - (2 2/12 + 3 3/12) = - 5 5/12
2) - 5 5/12 : 2 3/5 = - 65/12 : 13/5 = - 65/12 * 5/13 = - (5*5)/(12*1) = - 25/12 = - 2 1/12
3) 2/3 * 2 1/4 = 2/3 * 9/4 = (1*3)/(1*2) = 3/2 = 1 1/2
4) - 2 1/12 + 1 1/2 = - 2 1/12 + 1 6/12 = - (1 13/12 - 1 6/12) = - 7/12
5) - 7/12 - 5 1/6 = - (7/12 + 5 2/12) = - 5 9/12 = - 5 3/4
Пояснения:
1/6 = (1*2)/(6*2) = 2/12 - доп.множ.2
1/4 = (1*3)/(4*3) = 3/12 - доп.множ.3
5 5/12 = (5*12+5)/12 = 65/12
2 3/5 = (2*5+3)/5 = 13/5
2 1/4 = (2*4+1)/4 = 9/4
2 1/12 = 1 13/12
9/12 = (9:3)/(12:3) = 3/4 - сократили на 3