Question

-1 ¹/7×(⁴/5+19/20)×(6 5/6+4⅔

Answer 1

-8/7*(16/20+19/20)*(41/6+14/3)= -8/7*35/20*(41/6+28/6)= -2*69/6= -69/3= -23

Answer 2

To solve this expression, we can follow the order of operations, which is:

1. Perform any calculations inside parentheses first.
2. Next, multiply or divide from left to right.
3. Finally, add or subtract from left to right.

Let's simplify the expression step by step:

• First, we need to add the fractions inside the parentheses:

⁴/5 + 19/20 = (16 + 19)/20 = 35/20 = 7/4

• Next, we need to add the mixed numbers inside the parentheses:

6 5/6 + 4⅔ = (6×6 + 5)/6 + (4×3 + 2)/3 = 41/6 + 14/3 = (2×41)/(2×6) + (2×14)/(2×3) = 41/6 + 28/6 = 69/6 = 23/2

• Now, we can multiply the fractions:

7/4 × 23/2 = (7×23)/(4×2) = 161/8

• Finally, we can apply the negative sign:

-1 × 161/8 = -161/8

Therefore, the final answer is -161/8.