Question

(1/3-5/16):(1/6-1/8)​

Answer 1

Ответ:

Пошаговоооооооооооо

Answer 2

Ответ:

Пошаговое объяснение:

1/3 - 5/16 = 16/48 - 15/48 = 1/48:1/24 = 1/48 × 24/1 = 2

Answer 3

To simplify the expression (1/3 - 5/16) / (1/6 - 1/8), you can follow these steps:

1. Find a common denominator for each fraction inside the parentheses.
2. Perform the operations within the parentheses.
3. Divide the result of the first parentheses by the result of the second parentheses.

Let's go step by step:

1. Common denominator for fractions in the first parentheses: The denominators are 3 and 16, so the common denominator is 48 (LCM of 3 and 16).

   (1/3 - 5/16) becomes (16/48 - 15/48).

2. Perform the operations within the first parentheses: (16/48 - 15/48) = 1/48

Now, let's find the common denominator for the fractions in the second parentheses:

1/6 and 1/8 both have denominators of 6 and 8, so the common denominator is 24.

3. Perform the operations within the second parentheses: (1/6 - 1/8) = (4/24 - 3/24) = 1/24

Now, we can divide the result of the first parentheses by the result of the second parentheses:

(1/48) / (1/24)

To divide fractions, you can multiply by the reciprocal of the second fraction:

(1/48) * (24/1) = (1/48) * 24 = 24/48

Now, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (which is 24):

(24/48) ÷ (24/48) = 1/2

So, the simplified value of the expression is 1/2.