Question

4 2/7 - 3 2/9 - 5 5/7 + 1 1/5 - 5 1/9 + 2 3/7 =

Answer 1

Решение на фото .
Сначала переводим в неправильную дробь ( все дроби ) и вычисляем

Answer 2

To calculate the result of the expression:

4 2/7 - 3 2/9 - 5 5/7 + 1 1/5 - 5 1/9 + 2 3/7

You can first simplify each fraction and then perform the arithmetic.

Let's simplify the fractions first:

4 2/7 = 30/7 3 2/9 = 29/9 5 5/7 = 40/7 1 1/5 = 6/5 5 1/9 = 46/9 2 3/7 = 17/7

Now, the expression becomes:

(30/7) - (29/9) - (40/7) + (6/5) - (46/9) + (17/7)

To add and subtract these fractions, you need a common denominator. The common denominator for all these fractions is 63. So, let's convert them to have a common denominator:

(30/7) * (9/9) = 270/63 (29/9) * (7/7) = 203/63 (40/7) * (9/9) = 360/63 (6/5) * (12/12) = 72/63 (46/9) * (7/7) = 322/63 (17/7) * (9/9) = 153/63

Now, the expression becomes:

(270/63) - (203/63) - (360/63) + (72/63) - (322/63) + (153/63)

Now you can add and subtract these fractions:

(270 - 203 - 360 + 72 - 322 + 153) / 63

Calculate the numerator:

(270 - 203 - 360 + 72 - 322 + 153) = -390

Now, the expression becomes:

-390/63

You can simplify this fraction further by dividing both the numerator and denominator by their greatest common divisor, which is 3:

-390 ÷ 3 / 63 ÷ 3 = -130/21

So, the result of the expression is -130/21.