26. 1/15+3/5=2/3
27. 1/10+1/3=13/30
28. (-1/6)+7/18=2/9
Right.
29. 8 5/12+ 11 1/4= 19 2/3
30. 4 3/8+10 5/12= 14 19/24
31. 6 4/5+(-1 3 /4)=5 1/20
32. (-7/10)- 2/15= 17/30
All are right except for 32.
To solve these addition problems involving fractions, you need to find a common denominator for the fractions involved.
For question 26:
The denominators in this case are 15 and 5. To find a common denominator, you can multiply these two denominators together, which gives you 75. Now, you need to adjust the numerators to match this new denominator. To do this, multiply the numerator of the first fraction (1) by 5 and the numerator of the second fraction (3) by 15. This gives you 5/75 + 45/75 = 50/75. Finally, you can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 25. The simplified fraction is 2/3.
For question 27:
The denominators in this case are 10 and 3. The common denominator is found by multiplying these two denominators together, which gives you 30. Adjusting the numerators accordingly, you get 3/30 + 10/30 = 13/30. There is no simplification needed in this case.
For question 28:
The denominators here are 6 and 18. The common denominator is found by multiplying these two denominators together, which gives you 108. Adjusting the numerators accordingly, you get (-18/108) + (42/108) = 24/108. This fraction can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 12. The simplified fraction is 2/9.