Question

А) (5/6 - 2/3):8/9 б) 2/3:(2/5+4/15) в) 10:2/5-3/10 г) (1 1/2+3/8):3

Answer 1

А) 5/6-2/3=1/6
    1/6:8/9=3/16
б)  2/5+4/15= 10/15= 2/3
     2/3:2/3=1
в)   10: 2/5= 25
       25- 3/10= 24 целых 7/10
г)    1 целая 1/2 + 3/8= 1 целая 7/8
       1 целая 7/8 : 3 = 5
поставь спасибо 

Answer 2

a) To simplify (5/6 - 2/3):8/9, we can start by finding the common denominator of 6 and 9, which is 18. We can then convert 5/6 and 2/3 into fractions with a denominator of 18, giving us:

5/6 = (5/6) x (3/3) = 15/18 2/3 = (2/3) x (6/6) = 12/18

Now we can substitute these values and simplify the expression:

(15/18 - 12/18):(8/9) = 3/18 : 8/9 = (3/18) x (9/8) = 27/144 = 3/16

Therefore, (5/6 - 2/3):8/9 simplifies to 3/16.

b) To simplify 2/3:(2/5+4/15), we first need to simplify the denominator of the fraction in the brackets:

2/5 + 4/15 = (6/15 + 4/15) = 10/15 = 2/3

Now we can substitute this value and simplify the expression:

2/3 : 2/3 = (2/3) x (3/2) = 6/6 = 1

Therefore, 2/3:(2/5+4/15) simplifies to 1.

c) To simplify 10:2/5-3/10, we need to simplify the expression in the brackets first:

2/5 - 3/10 = (4/10 - 3/10) = 1/10

Now we can substitute this value and simplify the expression:

10 : 1/10 = 10 x 10/1 = 100

Therefore, 10:2/5-3/10 simplifies to 100.

d) To simplify (1 1/2+3/8):3, we first need to convert the mixed number into an improper fraction:

1 1/2 = (2 x 1 + 1)/2 = 3/2

Now we can substitute this value and simplify the expression:

(3/2 + 3/8):3 = (12/8 + 3/8):3 = 15/8 : 3 = (15/8) x (1/3) = 5/8

Therefore, (1 1/2+3/8):3 simplifies to 5/8.