Question

4/5+4/7×(7 11/12-5 7/9) ​

Answer 1

367/315
объяснение на фото

Answer 2

Ответ:

3 2 1

4/5+4/7×(7 11/12- 5 7/9) = 1 7/11

Пошаговое объяснение

1) 7 11/12 - 5 7/9 = 2 5/36

3 4

7 11/12 - 5 7/9= 2 33-28/36 = 2 5/36

7-5 = 2

36 общий знаменатель потому что он делится и на 12, и на 9

3×11= 33 4×7=28

2) 4/7× 2 5/36 = 4/7 × 77/36 = 1/1×9/11 = 9/11

4 и 36 можно сократить

7 и 77 так же можно сократить

4=1 36=9 7=1 77=11

3) 4/5 + 9/11= 1 7/11

11 5

4/5+9/11= 44+46/55= 90/55 = 18/11 = 1 7/11

55 общий знаменатель

11×4=44 5×9=46

90 и 55 можно сократить на 5

90= 18 55=11

18÷11= 1 7/11

Answer 3

To solve the expression 4/5 + 4/7 × (7 11/12 - 5 7/9), we need to follow the order of operations (also known as PEMDAS or BODMAS).

Step 1: Simplify the expression inside the parentheses. 7 11/12 can be converted to an improper fraction: (7 × 12 + 11) / 12 = 95/12 5 7/9 can be converted to an improper fraction: (5 × 9 + 7) / 9 = 52/9

So, the expression becomes: 4/5 + 4/7 × (95/12 - 52/9)

Step 2: Subtract the fractions inside the parentheses. To subtract fractions, we need a common denominator, which in this case is 36. (95/12 - 52/9) = (95/12 × 3/3) - (52/9 × 4/4) = (285/36) - (208/36) = (285 - 208) / 36 = 77/36

So, the expression simplifies further to: 4/5 + 4/7 × (77/36)

Step 3: Multiply the fractions. (4/7) × (77/36) = (4 × 77) / (7 × 36) = 308/252 = 77/63

Finally, the expression becomes: 4/5 + 77/63

Step 4: Find a common denominator to add the fractions. The common denominator is 315. (4/5) × (63/63) + (77/63) = (252/315) + (77/63)

Now, we can add the fractions: (252 + 77) / 315 = 329/315

Therefore, the final result of the expression 4/5 + 4/7 × (7 11/12 - 5 7/9) is 329/315.