can you check my answers:
estimate w/mixednumbers:
8) 9 1/11 - 3 7/9
i got:
9 - 4 = 5
9) 4 1/2 - 1 24/25
i got:
4 - 2 = 2
12) 9 8/10 + 8 2/10
i got:
10 + 8 = 18
14) 4 5/9 + 5 9/10
i got:
4 + 6 = 10
All are correct -- except your teacher might expect a different answer for 14.
Why would 14 be different answer?
If you round these fractions, 4 5/9 is more than 4 1/2 so it could be rounded to 5.
To check your answers for mixed numbers addition and subtraction, you need to convert the mixed numbers to improper fractions, perform the operation, and then simplify your answer, if needed. Let's go through each question to see if your answers are correct:
8) 9 1/11 - 3 7/9:
To subtract mixed numbers, convert them to improper fractions:
9 1/11 = (9 * 11 + 1) / 11 = 100 / 11
3 7/9 = (3 * 9 + 7) / 9 = 34 / 9
Now subtract the fractions:
(100 / 11) - (34 / 9) = (900 / 99) - (374 / 99) = (900 - 374) / 99 = 526 / 99
To simplify the answer, we can write it as a mixed number:
526 / 99 = 5 21/99
Therefore, your answer 5 is incorrect. The correct answer is 5 21/99.
9) 4 1/2 - 1 24/25:
Let's convert the mixed numbers to improper fractions:
4 1/2 = (4 * 2 + 1) / 2 = 9/2
1 24/25 = (1 * 25 + 24) / 25 = 49/25
Now subtract the fractions:
(9/2) - (49/25) = (225/50) - (98/50) = (225 - 98) / 50 = 127/50
To simplify the answer, we can write it as a mixed number:
127/50 = 2 27/50
Therefore, your answer 2 is incorrect. The correct answer is 2 27/50.
12) 9 8/10 + 8 2/10:
Let's convert the mixed numbers to improper fractions:
9 8/10 = (9 * 10 + 8) / 10 = 98/10
8 2/10 = (8 * 10 + 2) / 10 = 82/10
Now add the fractions:
(98/10) + (82/10) = (180/10) = 18
Therefore, your answer 18 is correct.
14) 4 5/9 + 5 9/10:
Let's convert the mixed numbers to improper fractions:
4 5/9 = (4 * 9 + 5) / 9 = 41/9
5 9/10 = (5 * 10 + 9) / 10 = 59/10
Now add the fractions:
(41/9) + (59/10) = (410/90) + (531/90) = (410 + 531) / 90 = 941/90
To simplify the answer, we can write it as a mixed number:
941/90 = 10 41/90
Therefore, your answer 10 is incorrect. The correct answer is 10 41/90.