Question

2.( 3/8-1 5/6):1 5/8.​

Answer 1

Ответ:

(2 3/8 - 1 5/6) : (- 1 5/8) = (19/8 - 11/6) : (-13/8) = (57/24 - 44/24)*(-8/13) =

= -13/24 * 8/13 = -1/3

Пошаговое объяснение:

Answer 2

To solve this expression, we'll follow the order of operations (PEMDAS/BODMAS), which stands for Parentheses/Brackets, Exponents/Orders (i.e., powers and square roots, etc.), Multiplication and Division (left-to-right), and Addition and Subtraction (left-to-right). In this case, we have division and subtraction, so we'll perform them from left to right.

1. Start with the division inside the parentheses:

   (3/8 - 1 5/6) ÷ 1 5/8

2. Perform the subtraction inside the parentheses:

   3/8 - 1 5/6 = (3/8) - (11/6)

3. Find a common denominator, which is 24 in this case, and convert the fractions:

   (3/8) - (11/6) = (9/24) - (44/24)

4. Subtract the fractions:

   (9/24) - (44/24) = -35/24

Now, we have simplified the expression inside the parentheses:

-35/24 ÷ 1 5/8

5. Next, divide this result by 1 5/8. To do this, convert 1 5/8 to an improper fraction:

   1 5/8 = (8/8) + (5/8) = 13/8

Now, perform the division:

(-35/24) ÷ (13/8)

6. When dividing fractions, multiply by the reciprocal of the divisor:

   (-35/24) * (8/13)

7. Multiply the numerators and denominators:

   (-35 * 8) / (24 * 13) = -280 / 312

8. Simplify the fraction by finding the greatest common divisor (GCD) of 280 and 312, which is 8, and divide both the numerator and denominator by 8:

   (-280 / 312) ÷ 8 = (-35 / 39)

So, the final result is:

-35/39, which can also be expressed as -5/9 when simplified by dividing both the numerator and denominator by their greatest common divisor of 5.