Question

(-3 1/3+2 5/6)*(-8 5/9+7 2/9)

Answer 1

Ответ будет равняться 3/2

Answer 2

To solve the expression (-3 1/3 + 2 5/6) * (-8 5/9 + 7 2/9), we need to simplify each mixed number and perform the multiplication. Let's break it down step by step:

First, let's simplify the mixed numbers:

-3 1/3 = -10/3 2 5/6 = 17/6 -8 5/9 = -77/9 7 2/9 = 65/9

Now, we can rewrite the expression as (-10/3 + 17/6) * (-77/9 + 65/9).

Next, let's find the common denominator for each fraction within the parentheses. The common denominator for 3 and 6 is 6, and the common denominator for 9 and 9 is 9.

(-10/3 + 17/6) * (-77/9 + 65/9) becomes (-20/6 + 17/6) * (-77/9 + 65/9).

Simplifying further, we get (-3/6) * (-12/9).

Now, let's multiply the fractions:

(-3/6) * (-12/9) = (3/6) * (12/9).

Multiplying the numerators and denominators:

(3 * 12) / (6 * 9) = 36/54.

Lastly, we can simplify the fraction 36/54 by dividing both the numerator and denominator by their greatest common divisor, which is 18.

(36/18) / (54/18) = 2/3.

Therefore, the solution to the expression (-3 1/3 + 2 5/6) * (-8 5/9 + 7 2/9) is 2/3.