Question

А) ( 1 - 1/2) ÷ ( 1/2 - 1/3); б) ( 1/3 + 1/4 ) ÷ ( 2 - 5/6 ); в) ( 1/2 + 1/4 - 2/5 ) ÷ 4/5.

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's solve each expression step by step:

а) (1 - 1/2) ÷ (1/2 - 1/3)

Step 1: Perform the operations within the parentheses. 1 - 1/2 = 1/2 1/2 - 1/3 = (3 - 2) / 6 = 1/6

Step 2: Divide the results. (1/2) ÷ (1/6) = (1/2) * (6/1) = 3

So, the result of (1 - 1/2) ÷ (1/2 - 1/3) is 3.

б) (1/3 + 1/4) ÷ (2 - 5/6)

Step 1: Perform the operations within the parentheses. 1/3 + 1/4 = (4 + 3) / 12 = 7/12 2 - 5/6 = (12/6) - (5/6) = 7/6

Step 2: Divide the results. (7/12) ÷ (7/6) = (7/12) * (6/7) = 1/2

So, the result of (1/3 + 1/4) ÷ (2 - 5/6) is 1/2.

в) (1/2 + 1/4 - 2/5) ÷ 4/5

Step 1: Perform the operations within the parentheses. 1/2 + 1/4 - 2/5 = (10 + 5 - 8) / 20 = 7/20

Step 2: Divide the result. (7/20) ÷ (4/5) = (7/20) * (5/4) = 7/16

So, the result of (1/2 + 1/4 - 2/5) ÷ 4/5 is 7/16.