10.5/7-4/6

A.1/21***
B.1
C.1/42
D.1/14

11.-3 7/9 - 1 2/9
A.-2 5/9***
B.2 5/9
C.-5
D.4 5/9

12. 6 1/3 - 4 4/9
A.2 1/3 ***
B.2 2/3
C.1 8/9
D.1 2/3

13. Kevin had 3/4 yard of string. He used 1/3 of the string for a school project. How many yards of string did he use for his project?

A.5/12***
B.1/3
C.7/12
D.1/4

Find the product.

14. 3/5 OF 50
A.15
B.25
C.50 3/5
D.30***

15. 13 * 2/3
A.8 2/3
B.14 1/2***
C.26
D.19 1/2

16. 3/10 * 2/10
A.3/50
B.1/20
C.3/5***
D.1/10

17. -4 2/3 * 1 4/5
A. -7 4/5
B. 5 14/15***
C. -8 2/5
D. 6 1/5

18. 2 3/7 * 2/3
A.1 17/21
B.2 1/21
C.1 4/7
D.1 13/21***

19.3/7 / 3/4
A.1/3
B.4/7
C.5/6
D.9/28

20. -7/3 / -13/7
A.-4 1/3
B.-1 10/39
C.2 2/21
D.1 10/39

21.7 / 7/8
A.49/56
B.6 1/8
C.8 1/8
D.8

22. -3 2/6 / 1 1/2
A.9/20
B.-3 2/3
C.-2 2/9
D.9/20

D.1 13/21

FOR NUMBER 19, MY ANSWER WAS B

20, D
21,A
22,B
SRRY, I FORGOT TO LIST MY LAST ANSWERS
PLZZZZZ HELP!

If you post three or four of these that are most confusing to you, I'll be glad to check them.

13. Kevin had 3/4 yard of string. He used 1/3 of the string for a school project. How many yards of string did he use for his project?

A.5/12***
B.1/3
C.7/12
D.1/4
==============================

1/3 * 3/4 = 1/4

I do not have time to go through all these but noticed this immediately

To evaluate the given expressions, you need to follow the order of operations (PEMDAS/BODMAS). Let's take each expression one by one:

10.5/7 - 4/6 = 1.5 - 0.67 = 0.83 ≈ 5/6

So, the answer is 5/6, which is not one of the provided options. None of the options is correct.

11. -3 7/9 - 1 2/9 = -3 - 1 + (7/9 - 2/9) = -4 + 5/9 = -2 5/9

So, the answer is -2 5/9, which matches option A.

12. 6 1/3 - 4 4/9 = 6 - 4 + (1/3 - 4/9) = 2 + (3/9 - 4/9) = 2 - 1/9 = 2 1/9

So, the answer is 2 1/9, which is not one of the provided options. None of the options is correct.

13. Kevin used 1/3 of the 3/4 yard string. To find out how many yards he used, we need to find 1/3 of 3/4.

(1/3) * (3/4) = 1/3 * 3/4 = 3/12 = 1/4

So, Kevin used 1/4 yard of string, which matches option D.

14. To find 3/5 of 50, you multiply 3/5 by 50.

(3/5) * 50 = (3 * 50) / 5 = 150/5 = 30

So, the answer is 30, which matches option D.

15. To multiply a whole number by a fraction, you multiply the whole number and the numerator of the fraction.

13 * (2/3) = 13 * 2/3 = 26/3 = 8 2/3

So, the answer is 8 2/3, which matches option A.

16. To multiply two fractions, you multiply their numerators to get the new numerator, and multiply their denominators to get the new denominator.

(3/10) * (2/10) = (3 * 2) / (10 * 10) = 6/100 = 3/50

So, the answer is 3/50, which matches option A.

17. To multiply mixed numbers, you convert them into improper fractions, then multiply the fractions, and finally convert the result back to a mixed number (if needed).

(-4 2/3) * (1 4/5) = (-14/3) * (9/5) = -126/15 = -8 6/15 = -8 2/5

So, the answer is -8 2/5, which matches option B.

18. To multiply a mixed number and a fraction, you convert the mixed number into an improper fraction, then multiply the fractions, and finally convert the result back to a mixed number (if needed).

(2 3/7) * (2/3) = (17/7) * (2/3) = 34/21 = 1 13/21

So, the answer is 1 13/21, which matches option D.

19. To divide fractions, you multiply the first fraction by the reciprocal (or inverse) of the second fraction.

(3/7) ÷ (3/4) = (3/7) * (4/3) = (3 * 4) / (7 * 3) = 12/21 = 4/7

So, the answer is 4/7, which matches option B.

20. To divide mixed numbers, you convert them into improper fractions, then divide the fractions, and finally convert the result back to a mixed number (if needed).

(-7/3) ÷ (-13/7) = (-21/3) ÷ (-13/7) = (-21/3) * (7/(-13)) = 147/(-39) = -1 10/39

So, the answer is -1 10/39, which matches option B.

21. To divide a number by a fraction, you multiply the number by the reciprocal (or inverse) of the fraction.

7 ÷ (7/8) = 7 * (8/7) = (7 * 8) / 7 = 8

So, the answer is 8, which matches option D.

22. To divide mixed numbers, you convert them into improper fractions, then divide the fractions, and finally convert the result back to a mixed number (if needed).

(-3 2/6) ÷ (1 1/2) = (-20/6) ÷ (3/2) = (-20/6) * (2/3) = (-40/18) = -20/9 = -2 2/9

So, the answer is -2 2/9, which matches option C.

Therefore, the correct answers for the given expressions are:

10.5/7 - 4/6 = 5/6 (not given as an option)
-3 7/9 - 1 2/9 = -2 5/9 (Option A)
6 1/3 - 4 4/9 = 2 1/9 (not given as an option)
Kevin used 1/4 yard of string (Option D)
3/5 of 50 = 30 (Option D)
13 * 2/3 = 8 2/3 (Option A)
3/10 * 2/10 = 3/50 (Option A)
-4 2/3 * 1 4/5 = -8 2/5 (Option B)
2 3/7 * 2/3 = 1 13/21 (Option D)
3/7 / 3/4 = 4/7 (Option B)
-7/3 / -13/7 = -1 10/39 (Option B)
7 / 7/8 = 8 (Option D)
-3 2/6 / 1 1/2 = -2 2/9 (Option C)