Question

(-2+1 7/12) : (3/8-1/6)•4 1/3​

Answer 1

Ответ:

182/15

Пошаговое объяснение:

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Answer 2

Let's break down the expression step by step:

1. First, simplify the fractions:

   • 17/12 = 1 5/12
   • 3/8 - 1/6 = (9/24) - (4/24) = 5/24
   • 4 1/3 = 13/3

2. Now, let's calculate the expression:

   • (-2 + 1 5/12) : (5/24 * 13/3)

3. Calculate the values within the parentheses first:

   • (-2 + 1 5/12) = (-2 + 1) + 5/12 = -1 + 5/12 = -7/12

4. Now, we have:

   • (-7/12) : (5/24 * 13/3)

5. Simplify the division by multiplying by the reciprocal:

   • (-7/12) * (24/5 * 3/13) = (-7/12) * (72/65)

6. Now, multiply the fractions:

   • (-7/12) * (72/65) = (-7 * 72) / (12 * 65) = (-504) / 780

7. Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 12:

   • (-504/780) = (-42/65)

So, (-2 + 17/12) : (3/8 - 1/6) * 4 1/3 = (-42/65).