Question

(5 1/5 -2 4/5 ×1 1/2): 2 2/3 +6 5/6

Answer 1

Ответ:

Пошаговое объяснение:

2 4/5 ×1 1/2=14/5*3/2=21/5=4 1/5

5 1/5-4 1/5=1

1:2 2/3=1*3/8=3/8

3/8+6 5/6=9/24+6 20/24=7 5/24

Answer 2

To simplify the expression, let's perform the calculations step by step:

Step 1: Evaluate the expression inside the parentheses. (5 1/5 - 2 4/5 × 1 1/2)

First, convert all mixed numbers to improper fractions: 5 1/5 = (5 * 5 + 1) / 5 = 26/5 2 4/5 = (2 * 5 + 4) / 5 = 14/5 1 1/2 = (1 * 2 + 1) / 2 = 3/2

Now, perform the multiplication: (26/5 - 14/5 × 3/2)

Multiply the fractions: 14/5 × 3/2 = (14 * 3) / (5 * 2) = 42/10 = 21/5

Now, the expression becomes: (26/5 - 21/5)

Step 2: Perform the subtraction: (26/5 - 21/5) = (26 - 21) / 5 = 5/5 = 1

So, the expression inside the parentheses simplifies to 1.

Step 3: Evaluate the second part of the expression: 2 2/3 = (2 * 3 + 2) / 3 = 8/3 6 5/6 = (6 * 6 + 5) / 6 = 41/6

Now, add the two fractions: (8/3 + 41/6)

Step 4: Find a common denominator (in this case, it's 6) and add the fractions: (8/3 + 41/6) = (16/6 + 41/6) = 57/6

Step 5: Simplify the result: 57/6 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3: 57/6 ÷ 3 = (57/6) * (1/3) = 19/2

So, the final result of the expression is 19/2, which is equivalent to 9 1/2.