Question

( -3,8 +2 1/(2 ))*(-1 7/8)+ 41/6 ∶( -1 2/3)​

Answer 1

1982/13 ответ будет

-₽-₽;;;3-₽(#

Answer 2

Let's break down the expression step by step:

1. (-3,8 + 2 1/2):

   • First, add the whole numbers: -3 + 2 = -1.
   • Then, add the fractions: 8 + 1/2 = 16/2 + 1/2 = 17/2.
   • So, (-3,8 + 2 1/2) = -1 17/2.

2. (-1 7/8):

   • This is already in mixed number form.

3. 41/6:

   • This is a fraction.

4. (-1 2/3):

   • This is already in mixed number form.

Now, let's perform the operations step by step:

• -1 17/2 * -1 7/8:

  • Multiply the whole numbers: (-1) * (-1) = 1.
  • Multiply the fractions: (17/2) * (7/8) = (17 * 7) / (2 * 8) = 119/16.
  • So, (-1 17/2) * (-1 7/8) = 1 119/16.

• 41/6 ÷ (-1 2/3):

  • To divide fractions, you can multiply by the reciprocal of the second fraction.
  • The reciprocal of (-1 2/3) is (-3/5).
  • So, (41/6) ÷ (-1 2/3) = (41/6) * (-3/5).
  • Multiply the numerators and denominators: (41 * -3) / (6 * 5) = -123/30.
  • Simplify the fraction: -123/30 = -41/10.

Now, let's put it all together:

1 119/16 - 41/10

To subtract these mixed numbers and fractions, you need a common denominator. The common denominator for 16 and 10 is 80.

• Convert 1 to an equivalent fraction with a denominator of 80: 1 * (80/80) = 80/80.
• Now, you can subtract the fractions:

(80/80) + (119/16) - (41/10)

Now, we'll find a common denominator for these fractions:

• For 80, 16, and 10, the common denominator is 80.

Now, convert each fraction to have a denominator of 80:

• (80/80) + (119/16) * (5/5) - (41/10) * (8/8)

Now, perform the operations:

• (80/80) + (595/80) - (328/80)

Now, add the fractions:

80/80 + 595/80 - 328/80 = (80 + 595 - 328) / 80 = 347/80

So, the final result is:

347/80