
(2-1 5/9)+(7-2 11/18)


Ответы на вопрос

Ответ:29/6 тоесть 4 5/6
Пошаговое объяснение:



7 - 2 11/18 = 6 18/18 - 2 11/18 = 4 7/18
4/9 + 4 7/18 = 8/18 + 4 7/18 = 4 15/18 = 4 5/6



To add these two mixed numbers, we first need to convert them into improper fractions.
For the first mixed number, 2-1 5/9, we can convert it as follows:
2-1 5/9 = 2 - (1*9 + 5)/9 = 2 - 14/9
For the second mixed number, 7-2 11/18, we can convert it as follows:
7-2 11/18 = 7 - (2*18 + 11)/18 = 7 - 47/18
Now, we can add these two improper fractions:
(2 - 14/9) + (7 - 47/18)
To add these two fractions, we first need to find a common denominator. The smallest number that both 9 and 18 divide into evenly is 18. So, we can rewrite the fractions with a denominator of 18:
(218/18 - 14/9) + (718/18 - 47/18)
Simplifying this expression, we get:
(36/18 - 14/9) + (126/18 - 47/18)
Now, we can combine like terms:
2 - 28/9 + 7 - 47/18
Simplifying this expression further, we get:
9 - (28/9 + 47/18)
To add these two fractions, we first need to find a common denominator. The smallest number that both 9 and 18 divide into evenly is 18. So, we can rewrite the fractions with a denominator of 18:
9 - (2*28/18 + 47/18)
Simplifying this expression, we get:
9 - 103/18
Finally, we can write this as a mixed number:
8 1/18
Therefore, (2-1 5/9)+(7-2 11/18) = 8 1/18.


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