Question

(0,5+1/8-1/6)(6,4:26 2/3)+0,125​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

Let's break down the expression step by step:

1. 0,5 + 1/8 - 1/6: First, simplify the addition and subtraction within the parentheses.

   • 0.5 + 1/8 - 1/6 = (4/8) + (1/8) - (2/12)
   • Now, find a common denominator, which is 24: = (12/24) + (3/24) - (4/24)
   • Combine the fractions: = (12 + 3 - 4) / 24 = 11/24

2. 6,4:26 2/3: Next, simplify the division and addition.

   • 6.4 ÷ 26 2/3 = 6.4 ÷ (26 + 2/3)
   • To add the mixed number to the whole number, convert it to an improper fraction: = 6.4 ÷ (26 + 8/3)
   • Find a common denominator, which is 3: = 6.4 ÷ ((78/3) + (8/3))
   • Combine the fractions inside the parentheses: = 6.4 ÷ (86/3)
   • Now, divide the decimals by the fraction: = (6.4 * 3) / 86 = 19.2 / 86 ≈ 0.2232558 (rounded to 7 decimal places)

3. 0,125: This is a straightforward decimal value.

Now, we can add these results together: 11/24 + 0.2232558 + 0.125

To add fractions and decimals together, it's best to convert everything to a common format. In this case, let's convert the decimal and the fraction to decimals:

11/24 + 0.2232558 + 0.125 ≈ 0.4583333 (rounded to 7 decimal places)

So, the result is approximately 0.4583333.