А) ( 3/4 + 1/6) * 3 + (5/6 - 1/2 ) : 2/9 =? ( всё в дробях )б) ( 1 1/5 + 2 3/10 ) : 1/2 +...

Question

А) ( 3/4 + 1/6) * 3 + (5/6 - 1/2 ) : 2/9 =?
( всё в дробях )
б) ( 1 1/5 + 2 3/10 ) : 1/2 + (6 3/4 - 2 2/3 ) : 1 1/6 =?

Answer 1

а) ( 3/4 + 1/6) * 3 + (5/6 - 1/2 ) : 2/9 =4 1/4
1)3/4+1/6=(9+2)/12=11/12
2)11/12*3=11/4
3)5/6-1/2=(10-6)/12=4/12=1/3
4)1/3:2/9=1/3*9/2=3/2
5)11/4+3/2=(11+6)/4=17/4=4 1/4
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б) ( 1  1/5 + 2  3/10 ) : 1/2 + (6  3/4 - 2  2/3 ) : 1  1/6=10 1/2
1)1 1/5+2 3/10=6/5+23/10=(12+23)/10=35/10
2)35/10:1/2=35/10*2/1=35/5=7
3)6 3/4-2 2/3=27/4-8/3=(81-32)/12=49/12
4)49/12:1 1/6=49/12:7/6=49/12*6/7=7/2=3 1/2
5)7+3 1/2=10 1/2

Answer 2

a)( 3/4 + 1/6) * 3 + (5/6 - 1/2 ) : 2/9 =   4 1/4 

3/4 + 1/6 = 18/24+4/24=22/24=11/12
11/12*3=33/12=11/4=2 3/4  

5/6 - 1/2= 5/6 - 3/6=2/6=1/3
1/3:2/9=1/3*9/2=3/2 = 1 1/2

2 3/4+1 1/2=3 + (3/4+2/4)= 3 5/4=4 1/4  
                                                         
b) (1  1/5 + 2  3/10 ) : 1/2 + (6  3/4 - 2  2/3 ) : 1  1/6 = 10 1/2

1  1/5 + 2  3/10  = 3 + (2/10+3/10)= 3 5/10= 3 1/2
3 1/2:1/2= 7/2*2/1=7

6  3/4 - 2  2/3 = 6 9/12 - 2 8/12= 4 1/12
4 1/12:1 1/6 = 49/12*6/7=7/2 = 3 1/2

7+3 1/2 = 10 1/2