Question

(2/3+7/8-5/6)*(1-5/17)

Answer 1

(2/3+7/8-5/6)*(1-5/17)=1/2=0,5
Ответ 0,5.

Answer 2

1)2/3+7/8=1 13/14
2)1 13/14-5/6=17/24
3)1-5/17=12/17
4)17/24*12/17=1/2

Answer 3

To solve the expression (2/3 + 7/8 - 5/6) * (1 - 5/17), we'll follow the order of operations, which is often remembered using the acronym PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

Let's break down the expression step by step:

Step 1: Perform the addition and subtraction within the parentheses.

2/3 + 7/8 - 5/6 = (16/24) + (21/24) - (20/24) = (16 + 21 - 20)/24 = 17/24

So, the expression becomes (17/24) * (1 - 5/17).

Step 2: Simplify the expression within the parentheses.

1 - 5/17 = (17/17) - (5/17) = (17 - 5)/17 = 12/17

Now, the expression becomes (17/24) * (12/17).

Step 3: Multiply the fractions.

(17/24) * (12/17) = (17 * 12)/(24 * 17) = 204/408 = 1/2

Therefore, the result of the expression (2/3 + 7/8 - 5/6) * (1 - 5/17) is 1/2.