Question

10-2 2/11*(7 1/3+1.6):1 1/9

Answer 1

7 1/3+1,6=7 1/3+1 3/5=7 5/15+1 9/15=

8 14/15

2 2/12*8 14/15=26/12*134/15=1742/90

1742/90:1 1/9=1742/90*9/10=1742/100=17,42

10-17,42=-7,42

Answer 2

To solve the expression, follow the order of operations (PEMDAS/BODMAS):

1. Parentheses/Brackets
2. Exponents/Orders
3. Multiplication and Division (from left to right)
4. Addition and Subtraction (from left to right)

Let's break down the expression step by step:

Step 1: Simplify the expression inside the parentheses: 7 1/3 + 1.6

Convert the mixed number 7 1/3 to an improper fraction: 7 1/3 = (7 * 3 + 1) / 3 = 22/3

Now, add 1.6 to 22/3: 22/3 + 1.6 = (22/3) + (1.6 * 3/3) = (22/3) + (4.8/3) = (22 + 4.8) / 3 = 26.8 / 3

Step 2: Divide the result from Step 1 by 1 1/9: 1 1/9 = (1 * 9 + 1) / 9 = 10/9

Now, divide 26.8 / 3 by 10/9: (26.8 / 3) ÷ (10/9) = (26.8 / 3) * (9/10) = (26.8 * 9) / (3 * 10) = 240.12 / 30

Step 3: Now, let's simplify the fraction 240.12 / 30: Since both numerator and denominator are divisible by 30, divide them by 30: 240.12 / 30 = 8.004

Step 4: Finally, subtract 10 - 2: 10 - 2 = 8

Step 5: Multiply the results from Step 4 and Step 3: 8 * 8.004 = 64.032

So, the final answer is approximately 64.032.