To solve this expression, we first need to convert the mixed numbers into improper fractions.
5 целых 9/14 = (5 * 14 + 9) / 14 = 79/14
2 целых 3/7 = (2 * 7 + 3) / 7 = 17/7
Now we can substitute these back into the expression:
79/14 - 17/7 + 6
To add fractions, we need to have a common denominator. In this case, the common denominator is 14:
(79 - 34) / 14 + 6
45/14 + 6
To add a fraction and a whole number, we need to convert the whole number into a fraction with the same denominator:
45/14 + 84/14
(45 + 84) / 14
129/14
Therefore, the final answer is 129/14 or approximately 9 целых 3/14.
To solve this expression, we first need to convert the mixed numbers into improper fractions.
5 целых 9/14 = (5 * 14 + 9) / 14 = 79/14
2 целых 3/7 = (2 * 7 + 3) / 7 = 17/7
Now we can substitute these back into the expression:
79/14 - 17/7 + 6
To add fractions, we need to have a common denominator. In this case, the common denominator is 14:
(79 - 34) / 14 + 6
45/14 + 6
To add a fraction and a whole number, we need to convert the whole number into a fraction with the same denominator:
45/14 + 84/14
(45 + 84) / 14
129/14
Therefore, the final answer is 129/14 or approximately 9 целых 3/14.