Question

6 4/5:3 2/5-(3/4+2/5)•5/19​

Answer 1

Ответ:

4/5:3 2/5-(3/4+2/5)•5/19

Пошаговое объяснение:

4/5:3 2/5-(3/4+2/5)•5/19=87/1292

ответ:87/1292

Answer 2

Слишком коротко. Напишите минимум 20 символов, чтобы объяснить все.

Ответ не может быть пустым

Answer 3

To solve this expression, we should 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).

Let's break down the expression step by step:

1. First, let's simplify the expression inside the parentheses: (3/4 + 2/5)

   To add fractions, we need a common denominator, which is 20 in this case. So:

   (3/4) + (2/5) = (15/20) + (8/20)

   Now, add the fractions:

   (15/20) + (8/20) = (15 + 8)/20 = 23/20

2. Next, we'll multiply the result from step 1 by 5/19:

   (23/20) * (5/19)

   To multiply fractions, simply multiply the numerators together and the denominators together:

   (23 * 5) / (20 * 19) = 115/380

3. Now, we have the following expression:

   6 4/5 : 3 2/5 - 115/380

4. Let's deal with the division (:) first:

   To divide mixed numbers, convert them into improper fractions and then perform the division.

   6 4/5 = (5 * 6 + 4)/5 = (30 + 4)/5 = 34/5 3 2/5 = (5 * 3 + 2)/5 = (15 + 2)/5 = 17/5

   So, the expression becomes:

   (34/5) / (17/5) - 115/380

5. Now, divide the fractions:

   (34/5) / (17/5) = (34/5) * (5/17)

   The "5" in the numerator and denominator cancels out, leaving:

   (34/17)

6. Now, subtract 115/380 from 34/17:

   (34/17) - (115/380)

   To subtract fractions, you need a common denominator, which is 380 in this case:

   (34/17) - (115/380) = (34 * 20/17 * 20) - (115/380)

   Now, perform the subtraction:

   (680/340) - (115/380) = 2 - (115/380)

7. Finally, subtract 115/380 from 2:

   2 - (115/380)

   To subtract fractions with different denominators, you need a common denominator, which is 380 in this case:

   (2 * 380/380) - (115/380) = (760/380) - (115/380)

   Now, perform the subtraction:

   (760 - 115)/380 = 645/380

So, the simplified result of the expression is 645/380, which can be further reduced if needed.