Question

(11/12+23/8*9/46):71/96-8/5

Answer 1

Ответ:

=(11/12+1/8*9/2)*96/71-8/5=(11/12+9/16)*96/71-8/5=71/48*96/71-8/5=2-8/5=(10-8)/5=2/5=0,4.

Answer 2

To solve this expression, you should 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 break it down step by step:

1. First, we'll simplify the fractions:

   • 11/12 + 23/8 = (11/12) + (69/24)

2. Now, find a common denominator (which is 24 in this case):

   • (11/12) + (69/24) = (11/12) + (69/24) * (2/2) = (11/12) + (138/24)

3. Combine the fractions:

   • (11/12) + (138/24) = (11/12) + (23/4)

4. Next, multiply the fractions:

   • 9/46 * (23/4) = (9 * 23) / (46 * 4) = 207 / 184

5. Now, we have all the parts ready, let's put the expression back together:

   • [(11/12) + (23/4)] / [(71/96) - (8/5)]

6. Substitute the fractions we found in step 3 and step 4:

   • [(11/12) + (23/4)] / [(71/96) - (8/5)] = [(11/12) + (23/4)] / [(71/96) - (8/5)] = [(11/12) + (23/4)] / [(71/96) - (8/5)]

7. Now, calculate the numerator and denominator separately:

   • Numerator: (11/12) + (23/4) = (11/12) + (69/12) = 80/12 = 20/3
   • Denominator: (71/96) - (8/5) = (71/96) - (384/96) = -313/96

8. Finally, divide the numerator by the denominator:

   • (20/3) / (-313/96)

To divide by a fraction, you can multiply by its reciprocal:

• (20/3) / (-313/96) = (20/3) * (-96/313)

Now, multiply the numerators and denominators:

• (20 * -96) / (3 * 313)

Calculate the numerator and denominator separately:

• Numerator: -1920
• Denominator: 939

So, the simplified result of the expression is: -1920/939