Question

2 1/10 * 2 11/7 4 1/6 *1 2/5 1 4/7 *2 6/11 1 1/5 *2 11/12

Answer 1

1225/2 или же 612,5 или же 612целых и 1/2

Answer 2

To solve the expression 2 + 1/10 * 2 + 11/7 + 4 + 1/6 * 1 + 2/5 + 1 + 4/7 * 2 + 6/11 + 1 + 1/5 * 2 + 11/12, we need to follow the order of operations (also known as PEMDAS/BODMAS).

Step 1: Perform Multiplication and Division

First, let's simplify the expression by performing multiplication and division from left to right:

2 + 1/10 * 2 + 11/7 + 4 + 1/6 * 1 + 2/5 + 1 + 4/7 * 2 + 6/11 + 1 + 1/5 * 2 + 11/12 = 2 + (1/10 * 2) + 11/7 + 4 + (1/6 * 1) + 2/5 + 1 + (4/7 * 2) + 6/11 + 1 + (1/5 * 2) + 11/12 = 2 + (2/10) + 11/7 + 4 + (1/6) + 2/5 + 1 + (8/7) + 6/11 + 1 + (2/5) + 11/12 = 2 + 1/5 + 11/7 + 4 + 1/6 + 2/5 + 1 + 8/7 + 6/11 + 1 + 2/5 + 11/12

Step 2: Perform Addition

Next, let's simplify the expression by performing addition from left to right:

2 + 1/5 + 11/7 + 4 + 1/6 + 2/5 + 1 + 8/7 + 6/11 + 1 + 2/5 + 11/12 = (2 + 1/5) + 11/7 + 4 + 1/6 + 2/5 + 1 + 8/7 + 6/11 + 1 + 2/5 + 11/12 = (10/5 + 1/5) + 11/7 + 4 + 1/6 + 2/5 + 1 + 8/7 + 6/11 + 1 + 2/5 + 11/12 = 11/5 + 11/7 + 4 + 1/6 + 2/5 + 1 + 8/7 + 6/11 + 1 + 2/5 + 11/12

Step 3: Find a Common Denominator

To add fractions, we need to find a common denominator. The common denominator for 5, 7, 6, 11, and 12 is 5 * 7 * 6 * 11 * 12 = 4620.

Step 4: Perform Addition

Now, let's add the fractions by converting them to have a common denominator:

(11/5 * 924/924) + (11/7 * 660/660) + (4 * 770/770) + (1/6 * 770/770) + (2/5 * 924/924) + (1 * 4620/4620) + (8/7 * 660/660) + (6/11 * 420/420) + (1 * 4620/4620) + (2/5 * 924/924) + (11/12 * 385/385)

Now we can add the fractions together:

(11 * 924 + 11 * 660 + 4 * 770 + 1 * 770 + 2 * 924 + 1 * 4620 + 8 * 660 + 6 * 420 + 1 * 4620 + 2 * 924 + 11 * 385) / 4620

Step 5: Simplify the Expression

Calculating the numerator:

(11 * 924 + 11 * 660 + 4 * 770 + 1 * 770 + 2 * 924 + 1 * 4620 + 8 * 660 + 6 * 420 + 1 * 4620 + 2 * 924 + 11 * 385) = 111980

Putting it all together:

111980 / 4620 = 24.234

Therefore, the answer to the expression 2 + 1/10 * 2 + 11/7 + 4 + 1/6 * 1 + 2/5 + 1 + 4/7 * 2 + 6/11 + 1 + 1/5 * 2 + 11/12 is approximately 24.234.