Question

(5-3/4)÷(1 1/2-1/2)×(1 1/3+2 2/5+1/4)

Answer 1

Ответ:16 223/240

Пошаговое объяснение:

Answer 2

To solve this expression, we'll 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 down the expression step by step:

1. Start with the innermost parentheses first:

   • Inside the first set of parentheses: (5 - 3/4) = (20/4 - 3/4) = 17/4.

   • Inside the second set of parentheses: (1 1/2 - 1/2) = (3/2 - 1/2) = 2/2 = 1.

   • Inside the third set of parentheses: (1 1/3 + 2 2/5 + 1/4) = (4/3 + 12/5 + 1/4).

2. Next, find a common denominator for the fractions inside the third set of parentheses:

   • The common denominator for 3, 5, and 4 is 60.

   • Rewrite each fraction with a denominator of 60: (4/3) = (4/3) * (20/20) = 80/60, (12/5) = (12/5) * (12/12) = 144/60, (1/4) = (1/4) * (15/15) = 15/60.

3. Now, add these fractions together:

   (80/60 + 144/60 + 15/60) = 239/60.

4. Now, we have the result from the third set of parentheses (239/60) and the result from the second set of parentheses (1), and we can perform the multiplication and division:

   (17/4) ÷ (1) × (239/60).

5. First, perform the division:

   (17/4) ÷ (1) = 17/4.

6. Finally, perform the multiplication:

   (17/4) × (239/60).

Now, multiply the numerators and denominators:

(17 * 239) / (4 * 60) = 4063/240.

You can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 8:

(4063/8) / (240/8) = 507.875 / 30 = 169.29166667 (rounded to 8 decimal places).

So, the final result is approximately 169.29166667.