Question

3 2/7 - (2,25 - 4 5/7) +5,65

Answer 1

Решение:

Переводим дроби в обычные

23/7 - (9/4 - 33/7) + 113/20;

9/4 - 33/7 = -69/28

Получается 23/7 - (-69/28) + 113/20;

23/7 + 69/28 + 113/20 = 57/5

Ответ:

57/5

Answer 2

Let's break down the expression step by step:

1. Start with the first number: 3 2/7. 3 2/7 can be written as an improper fraction: (7 * 3 + 2) / 7 = 23/7.

2. Next, calculate (2,25 - 4 5/7): 2.25 - 4 5/7 can be rewritten as 2.25 - (4 + 5/7). Now, add the whole numbers: 2.25 - 4 = -1.75. To subtract the fractions, find a common denominator of 7: -1.75 - 5/7 = (-7/4) - (5/7). Now, find a common denominator, which is 28: (-7/4) * (7/7) = -49/28, and (5/7) * (4/4) = 20/28. Now, subtract the fractions: -49/28 - 20/28 = -69/28.

3. Finally, add 5.65 to the result from step 2: -69/28 + 5.65 can be expressed with a common denominator of 28 for the fraction: (-69/28) + (5.65 * 28/28) = (-69/28) + (159/28).

Now, you can add the fractions: -69/28 + 159/28 = (159 - 69) / 28 = 90/28.

You can simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which is 2: (90/2) / (28/2) = 45/14.

So, the final result of the expression is 45/14.