Question

10 16/17:8 5/11+1 2/3 плииз ​

Answer 1

To solve the expression 10 + 16/17:8 + 5/11 + 1 + 2/3, we need to follow the order of operations, which is commonly known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, and Addition and Subtraction from left to right).

Let's break down the expression step by step:

1. First, we need to perform the division 16/17. This gives us a decimal value of approximately 0.9412. 2. Next, we perform the division 17:8, which gives us a quotient of 2.125. 3. Now, we can substitute the division results back into the expression: 10 + 0.9412 + 5/11 + 1 + 2/3. 4. We can simplify the expression further by converting the fraction 5/11 into a decimal. This gives us approximately 0.4545. 5. Now, we have: 10 + 0.9412 + 0.4545 + 1 + 2/3. 6. To add the fraction 2/3 to the expression, we need to find a common denominator. The common denominator for 3 and 1 is 3. So, we can rewrite 1 as 3/3. Now, we have: 10 + 0.9412 + 0.4545 + 3/3 + 2/3. 7. Adding the fractions 3/3 and 2/3 gives us 5/3. 8. Now, we have: 10 + 0.9412 + 0.4545 + 5/3. 9. To add the decimal values and the fraction, we need to convert the fraction 5/3 into a decimal. This gives us approximately 1.6667. 10. Finally, we can add all the values together: 10 + 0.9412 + 0.4545 + 1.6667. 11. The sum of these values is approximately 13.0624.

Therefore, the result of the expression 10 + 16/17:8 + 5/11 + 1 + 2/3 is approximately 13.0624.

Please note that the decimal approximations are rounded for simplicity.