Question

(1/6+1/7) • (-1/13) •13/14•(-21/26)​

Answer 1

Ответ:

Пошаговое объяснение:

1)1/6+1/7=13/42

2)13/42*(-1/13)=- 1/42

3)(- 1/42*13/14)=- 13/588

4)(-13/588*(-21/26)=1/56

Answer 2

Let's simplify the expression step by step:

(1/6 + 1/7) • (-1/13) • 13/14 • (-21/26)

Step 1: Combine the fractions inside the parentheses. To combine the fractions (1/6 + 1/7), we need a common denominator, which is the least common multiple (LCM) of 6 and 7, which is 42.

(1/6 + 1/7) = (7/42 + 6/42) = 13/42

Step 2: Multiply the fractions. Now we have: (13/42) • (-1/13) • 13/14 • (-21/26)

Step 3: Cancel out common factors. We can see that 13/13 cancels out, as well as the negative signs:

(13/42) • (-1/13) • 13/14 • (-21/26) = (1/42) • 1 • 1 • (21/26)

Step 4: Multiply the remaining fractions. (1/42) • (21/26) = 21/(42 • 26)

Step 5: Simplify the fraction further. To simplify the fraction 21/(42 • 26), we can find the greatest common divisor (GCD) of 21, 42, and 26, which is 1.

21/(42 • 26) = 21/1092

So, the simplified expression is 21/1092.