Question

(8-5 2/3)*(1/7 + 1/2)​

Answer 1

................................

Answer 2

To solve this expression, 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):

1. First, calculate the expressions within the parentheses:
   • 8 - 5 = 3
   • 2/3 is already in its simplest form.

So the expression becomes:

(3 2/3) * (1/7 + 1/2)

2. Next, simplify the addition inside the second set of parentheses:
   • 1/7 + 1/2 = (2/14 + 7/14) = 9/14

So the expression becomes:

(3 2/3) * (9/14)

3. Now, multiply the two fractions:

(11/3) * (9/14)

4. To multiply fractions, simply multiply the numerators together and the denominators together:

(11 * 9) / (3 * 14) = 99/42

5. Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 3:

(99/3) / (42/3) = 33/14

So the final result of the expression is:

33/14