Question

2 1/6(-2 5/9) +( -11/18​

Answer 1

Ответ:

Пошаговое объяснение:

Answer 2

To simplify the expression 2 1/6(-2 5/9) + (-11/18), we'll first perform the multiplication and then add the second term.

1. Calculate the product of 2 1/6 and -2 5/9:

2 1/6 = 13/6 (since 2 * 6 + 1 = 13) -2 5/9 = -23/9 (since -2 * 9 + 5 = -23)

Now, multiply these two fractions:

(13/6) * (-23/9) = (13 * -23) / (6 * 9) = -299/54

2. Next, add the second term, which is -11/18:

-299/54 + (-11/18)

To add these fractions, we need a common denominator, which is 54. So, we'll convert -11/18 to an equivalent fraction with a denominator of 54:

-11/18 = (-11/18) * (3/3) = (-33/54)

Now, we can add the fractions:

(-299/54) + (-33/54) = (-299 - 33) / 54 = -332/54

To simplify further, you can reduce the fraction by finding the greatest common divisor (GCD) of the numerator and denominator, which is 2:

(-332/54) ÷ 2 = (-166/27)

So, the simplified expression is -166/27.