Question

(3 2/5 * 2 - 5 3/4 : 1 11/12): 3 1/6 - 4 4/5 : 9 + 2 2/3

Answer 1

1)3 2/5*2=6 4/5
2)5 3/4:1 11/12=23/4:23/12=23/4*12/23=3
3)6 4/5-3=3 4/5
4)3 4/5:3 1/6=19/5:19/6=19/5*6/19=6/5
5)4 4/5:9=24/5*1/9=8/15
6)6/5-8/15=18/15-8/15=10/15=2/3
7)2/3+2 2/3=2 4/3=3 1/3
ответ 3 1/3

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). Here's the step-by-step solution:

1. First, convert all mixed numbers to improper fractions:
   • 3 2/5 = (5 * 3 + 2)/5 = 17/5
   • 5 3/4 = (4 * 5 + 3)/4 = 23/4
   • 1 11/12 = (12 * 1 + 11)/12 = 23/12
   • 3 1/6 = (6 * 3 + 1)/6 = 19/6
   • 4 4/5 = (5 * 4 + 4)/5 = 24/5
   • 2 2/3 = (3 * 2 + 2)/3 = 8/3

So, the expression becomes:

(17/5 * 2 - 23/4 : 23/12) : (19/6 - 24/5 : 9 + 8/3)

2. Perform the operations within parentheses/brackets:

   Inside the first set of parentheses:

   • 17/5 * 2 = (17 * 2)/5 = 34/5

   Inside the second set of parentheses:

   • 23/4 : 23/12 = (23/4) * (12/23) = 3

   Inside the third set of parentheses:

   • 24/5 : 9 = (24/5) * (1/9) = 8/15

3. Substitute these values back into the expression:

   (34/5 - 3) : (19/6 - 8/15 + 8/3)

4. Continue to simplify:

   • 34/5 - 3 = 34/5 - 15/5 = 19/5

   • 19/6 - 8/15 + 8/3 = (95/30 - 16/30 + 80/30) = 159/30

5. Finally, divide:

   (19/5) : (159/30) = (19/5) * (30/159)

6. Simplify the division:

   (19/5) * (30/159) = (19 * 30) / (5 * 159) = 570/795

Now, you can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 15:

(570/15) / (795/15) = 38/53

So, the final result is 38/53.