Question

-3+(-5 3/4)-2/3-(-2 5/6)​

Answer 1

Ответ:

вот решение

Пошаговое объяснение:

решение ниже

Answer 2

To solve the given expression:

-3 + (-5 3/4) - 2/3 - (-2 5/6)

First, let's simplify the mixed numbers:

-5 3/4 = -5 - 3/4 = -20/4 - 3/4 = -23/4

-2 5/6 = -2 - 5/6 = -12/6 - 5/6 = -17/6

Now, substitute these values back into the expression:

-3 + (-23/4) - 2/3 - (-17/6)

To add or subtract fractions, we need to have a common denominator. In this case, the least common multiple (LCM) of 4 and 6 is 12.

Multiplying the numerators and denominators by the necessary factors to get a common denominator:

-3 + (-23/4) - (2/3) - (-17/6) = -3 + (-23/4) - (2/3) + (17/6) (Note: Negating a fraction changes the sign of both the numerator and denominator)

Now, converting each fraction to have a denominator of 12:

= -36/12 + (-69/12) - (8/12) + (34/12)

Next, combine the numerators:

= (-36 - 69 - 8 + 34)/12

= (-79 + 34)/12

= -45/12

The fraction -45/12 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3:

= (-45 ÷ 3) / (12 ÷ 3)

= -15/4

Therefore, the simplified value of the expression is -15/4.