Question

4 1/6*(1 1/2-3/5)+(3/4+5/6)*6

Answer 1

Ответ:

13.25

Пошаговое объяснение:

4 1/6*(1 1/2-3/5)+(3/4+5/6)*6 = 25/6*(1.5-0.6)+19/12*6=25/6 * 0.9 + 19/2=13.25

Answer 2

To solve this expression, we'll follow the order of operations (PEMDAS/BODMAS: Parentheses/Brackets, Exponents/Orders, Multiplication and Division, Addition and Subtraction) to ensure accuracy.

Given expression: 4 1/6 * (1 1/2 - 3/5) + (3/4 + 5/6) * 6

Step 1: Deal with the fractions inside the parentheses first.

1 1/2 - 3/5 = (3/2 + 1/2) - 3/5 = 4/2 - 3/5 = 2 - 3/5 = 10/5 - 3/5 = 7/5

3/4 + 5/6 = (9/12 + 10/12) = 19/12

So, the expression becomes: 4 1/6 * (7/5) + (19/12) * 6

Step 2: Convert the mixed number to an improper fraction.

4 1/6 = (6 * 4 + 1) / 6 = 25/6

So, the expression becomes: 25/6 * (7/5) + (19/12) * 6

Step 3: Multiply the fractions.

(25/6) * (7/5) = (25 * 7) / (6 * 5) = 175/30 = 35/6

(19/12) * 6 = 19/2

So, the expression becomes: 35/6 + 19/2

Step 4: Find a common denominator to add the fractions.

The common denominator for 6 and 2 is 6.

(35/6) + (19/2) = (35/6) + (57/6) = (35 + 57) / 6 = 92/6 = 46/3

Therefore, the result of the expression is 46/3 or approximately 15 1/3.