Question

-5/12•2 2/3-7 2/3•(-1/6)​

Answer 1

Решение задания приложено

Answer 2

-5/12 * 2 2/3 - 7 2/3 * (-1/6) =

= -5/12 * 8/3 - 23/3 * (-1/6) =

= -20/18 + 23/18 = 3/18 = 1/6

Answer 3

To calculate the expression, follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction). Let's simplify the expression step by step:

1. Calculate -5/12 * 2 2/3: To multiply a whole number with a mixed number, first convert the whole number to a fraction with the same denominator as the mixed number.

2 2/3 = (3 * 2 + 2)/3 = 8/3

Now, we have: -5/12 * 8/3

To multiply fractions, simply multiply the numerators and denominators: (-5 * 8) / (12 * 3) = -40 / 36

Now, simplify the fraction: -40 / 36 = -10 / 9

2. Calculate 7 2/3 * (-1/6): Again, convert the whole number to a fraction with the same denominator as the mixed number.

7 2/3 = (3 * 7 + 2)/3 = 23/3

Now, we have: 23/3 * (-1/6)

Multiply the numerators and denominators: (23 * -1) / (3 * 6) = -23 / 18

3. Finally, subtract the results: -10/9 - (-23/18)

To subtract fractions, find a common denominator (in this case, it's 18): -10/9 = -20/18

Now, the expression becomes: -20/18 - (-23/18)

To subtract fractions, simply subtract the numerators and keep the common denominator: (-20 + 23) / 18 = 3/18

Finally, simplify the fraction: 3/18 = 1/6

So, the simplified value of the expression is 1/6.