Question

найдите значение выражения :
$1 frac{5}{12} - (1 frac{2}{5} + 1 frac{1}{2} ) times frac{15}{29 } div 2 frac{1}{4}$

Answer 1

1 5/12 - (1 2/5 + 1 1/2) * 15/29 : 2 1/4 = 3/4

1) 1 2/5 + 1 1/2 = 1 4/10 + 1 5/10 = 2 9/10 = 29/10
2) 29/10 * 15/29 = 15/10 = 3/2
3) 3/2 : 2 1/4 = 3/2 : 9/4 = 3/2 * 4/9 = (1*2)/(1*3) = 2/3
4) 1 5/12 - 2/3 = 1 5/12 - 8/12 = 17/12 - 8/12 = 9/12 = 3/4

Пояснения:
2/5 = 4/10 - доп.множ. 2
1/2 = 5/10 - доп.множ. 5
2 целых 9/10 = (2*10+9)/10 = 29/10
15/10 = 3/2 - сократили на 5
2 целых 1/4 = (2*4+1)/4 = 9/4
2/3 = 8/12 - доп.множ. 4
1 целая 5/12 = (1*12+5)/12 = 17/12
9/12 = 3/4 - сократили на 3

Answer 2

= 17/12 + ((1 + + (2/5 + 1/2)) * 15/29 : 9/4 = 17/12 - (2 + 9/10) * 15/2) * 4/9 = 17/12 - 2 9/10 * 15/29 * 4/9 = 17/12 - 29/10 * 15/29 * 4/9 = 17/12 - 122 * 3 * 4/9 = 17/12 - 2/3 = 3/4