Question

(15 - 9 1/3) : 2/3. ________________. - 8 9/20 (19 2/3 - 11 7/9) * 9/71

Answer 1

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Answer 2

To solve this expression step by step, we can follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right).

Let's start:

1. First, simplify the expressions within parentheses:

   a. Inside the first parentheses: 15 - 9 1/3 = 15 - (9 + 1/3) = 15 - (28/3) = 45/3 - 28/3 = 17/3.

   b. Inside the second parentheses: 19 2/3 - 11 7/9 = (19 * 3 + 2) - (11 * 9 + 7) / 9 = (57 + 2) - (99 + 7) / 9 = 59 - (106/9).

2. Now, we can calculate the division and multiplication within the expressions:

   a. For the first part: (17/3) / (2/3) = (17/3) * (3/2) = (17/2).

   b. For the second part: (59 - 106/9) * (9/71).

3. Continue simplifying:

   a. (17/2) / (2/3) = (17/2) * (3/2) = (17/1) * (3/2) = (17 * 3) / (2 * 2) = 51/4.

   b. (59 - 106/9) * (9/71) = (59 * 9 - 106/9 * 9) / 71 = (531 - 106) / 71 = 425/71.

Now, you have:

(17/2) / (2/3) * (59 - 106/9) * (9/71) = (51/4) * (425/71).

To simplify further, you can multiply the numerators together and the denominators together:

(51 * 425) / (4 * 71).

Now, calculate the numerator and denominator:

Numerator = 51 * 425 = 21675 Denominator = 4 * 71 = 284

So, the simplified expression is:

21675/284.