Question

(1/6+1/8)*4/7.( 2/3-1/9):5/6

Answer 1

1)1/6 + 1/8 = 7/24
2)2/3 - 1/9 = 5/9
3)7/24 * 4/7 = 1/6
4)5/9 : 5/6 = 2/3
5)1/6 - 2/3 = - 1/2
ответ: -1/2

Answer 2

To simplify the given expression, let's break it down step by step:

Step 1: Simplify the expression within the parentheses: (1/6 + 1/8) * (4/7) * ((2/3) - (1/9)) : (5/6)

Step 2: Find a common denominator for fractions involved in addition/subtraction: The common denominator for 6 and 8 is 24.

(1/6 + 1/8) * (4/7) * ((2/3) - (1/9)) : (5/6) = (4/24 + 3/24) * (4/7) * ((2/3) - (1/9)) : (5/6) = (7/24) * (4/7) * ((2/3) - (1/9)) : (5/6)

Step 3: Simplify the expression within the square brackets: (2/3) - (1/9) To subtract fractions, we need a common denominator, which is 9 in this case.

(2/3) - (1/9) = (6/9) - (1/9) = (6 - 1)/9 = 5/9

Now, we can substitute this value back into the main expression:

(7/24) * (4/7) * ((2/3) - (1/9)) : (5/6) = (7/24) * (4/7) * (5/9) : (5/6)

Step 4: Simplify the expression by canceling out common factors: Cancel out the common factors between the numerators and denominators:

= (1/3) * (2/1) * (1/3) : (1/1) = (1/3) * 2 * (1/3) = 2/9

Therefore, the simplified expression is 2/9.