
Вычислите: 3/7+4/9, 8/9-78, 13/15-2/3, 20/21+3/7, 17/18-11/12, 7/16+1/6, 2/9+5/6, 10/21+9/14,
7/9-4/15, 9/14-3/7+15/28, 1/6+1/4-1/8, 13/18-29/45+8/15

Ответы на вопрос




Давайте по очереди вычислим данные выражения:
1. 3/7 + 4/9: To add fractions, we need to find a common denominator. In this case, the common denominator is 63 (7 * 9). So, we have (3/7) * (9/9) + (4/9) * (7/7) = 27/63 + 28/63 = 55/63.
2. 8/9 - 78: To subtract a whole number from a fraction, we need to convert the whole number to a fraction with the same denominator as the fraction. The fraction 78 can be written as 78/1. Now, we have (8/9) - (78/1) = (8/9) - (78/9) = (-70/9).
3. 13/15 - 2/3: To subtract fractions, we need to find a common denominator. In this case, the common denominator is 15. So, we have (13/15) - (2/3) * (5/5) = 13/15 - 10/15 = 3/15 = 1/5.
4. 20/21 + 3/7: To add fractions, we need to find a common denominator. In this case, the common denominator is 21. So, we have (20/21) + (3/7) * (3/3) = 20/21 + 9/21 = 29/21.
5. 17/18 - 11/12: To subtract fractions, we need to find a common denominator. In this case, the common denominator is 36. So, we have (17/18) * (2/2) - (11/12) * (3/3) = 34/36 - 33/36 = 1/36.
6. 7/16 + 1/6: To add fractions, we need to find a common denominator. In this case, the common denominator is 48 (16 * 3). So, we have (7/16) * (3/3) + (1/6) * (8/8) = 21/48 + 8/48 = 29/48.
7. 2/9 + 5/6: To add fractions, we need to find a common denominator. In this case, the common denominator is 18. So, we have (2/9) * (2/2) + (5/6) * (3/3) = 4/18 + 15/18 = 19/18.
8. 10/21 + 9/14: To add fractions, we need to find a common denominator. In this case, the common denominator is 42. So, we have (10/21) * (2/2) + (9/14) * (3/3) = 20/42 + 27/42 = 47/42.
9. 7/9 - 4/15: To subtract fractions, we need to find a common denominator. In this case, the common denominator is 45. So, we have (7/9) * (5/5) - (4/15) * (3/3) = 35/45 - 12/45 = 23/45.
10. 9/14 - 3/7 + 15/28: To subtract and add fractions, we need to find a common denominator. In this case, the common denominator is 28. So, we have (9/14) * (2/2) - (3/7) * (4/4) + (15/28) = 18/28 - 12/28 + 15/28 = 21/28.
11. 1/6 + 1/4 - 1/8: To add and subtract fractions, we need to find a common denominator. In this case, the common denominator is 24. So, we have (1/6) * (4/4) + (1/4) * (6/6) - (1/8) * (3/3) = 4/24 + 6/24 - 3/24 = 7/24.
12. 13/18 - 29/45 + 8/15: To subtract and add fractions, we need to find a common denominator. In this case, the common denominator is 90. So, we have (13/18) * (5/5) - (29/45) * (2/2) + (8/15) * (6/6) = 65/90 - 58/90 + 48/90 = 55/90.
I hope this helps! Let me know if you have any further questions.


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