Question

(4 6/3-7)*(-6/3)-(-4)*3

Answer 1

Ответ:

14.

Пошаговое объяснение:

(4 6/3-7)*(-6/3)-(-4)*3=(6-7)*(-2)+12=(-1)*(-2)+12=2+12=14.

Answer 2

To evaluate the expression (4 6/3 - 7) * (-6/3) - (-4) * 3, we need to follow the order of operations (parentheses, multiplication and division, addition and subtraction) and simplify the expression step by step.

First, let's simplify the expression inside the parentheses:

4 6/3 - 7

To add the whole number 4 with the fraction 6/3, we need to convert the whole number into a fraction. Since 4 can be written as 4/1, we have:

(4/1) 6/3 - 7

Now, let's find a common denominator for the fractions in the expression. The denominators are 1 and 3, so the least common multiple (LCM) is 3. We can rewrite the expression with the common denominator:

(4/1) * (2/2) - 7

Now we can multiply the numerators together and the denominators together:

(8/2) - 7

Simplifying the multiplication:

4 - 7

Now, let's perform the remaining operations in the expression:

4 - 7 = -3

Now, let's simplify the rest of the expression:

(-6/3) - (-4) * 3

To simplify the negative sign in front of the fraction, we can multiply both the numerator and denominator of the fraction by -1:

(-6 * -1)/(3 * -1) - (-4) * 3

This gives us:

6/-3 - (-4) * 3

Simplifying the division:

-2 - (-4) * 3

Multiplying -4 by 3:

-2 - (-12)

When subtracting a negative number, it is equivalent to adding the positive number:

-2 + 12 = 10

Therefore, the final result of the expression is 10.