Question

(15 1/5 +(-8):((-9)+2 1/3)

Answer 1

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Answer 2

Let's solve the expression step by step:

Step 1: Evaluate the expressions within the parentheses first.

• Inside the first parentheses: (-9) + 2 1/3 To add -9 to 2 1/3, we need to convert 2 1/3 to an improper fraction. The common denominator is 3. 2 1/3 = (2 * 3 + 1) / 3 = 7/3 So, (-9) + 2 1/3 = -9 + 7/3

Step 2: Perform the addition inside the first parentheses. -9 + 7/3 = - (27/3) + 7/3 = -20/3

Step 3: Evaluate the expression inside the second parentheses. -8

Step 4: Perform the division operation. -8 / (-20/3)

Now, we have a division of two negative numbers, which will result in a positive value: -8 / (-20/3) = (8 * 3) / 20 = 24 / 20

Step 5: Simplify the fraction (if possible). 24/20 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4: 24 / 20 = (24 ÷ 4) / (20 ÷ 4) = 6 / 5

Step 6: Add the result from Step 5 to 15 1/5. 15 1/5 + 6/5

To add these fractions, we need to convert 15 1/5 to an improper fraction. The common denominator is 5: 15 1/5 = (15 * 5 + 1) / 5 = 76/5

Now, perform the addition: 76/5 + 6/5 = (76 + 6) / 5 = 82/5

The final result is 82/5 or 16 2/5.