I'm doing a grade recovery for math; Operations with Fractions

Help me? (fast plz)
1. Find 31 over 10 + 21 over 6.
51 over 8
54 over 15***
3 over 4
21 over 2

2. 381 over 2 tons = box lb
38,250
77,000***
76,500
38,500

3. Evaluate a • b for a = 75 over 8 and b = 3 over 8.
82 over 3
201 over 3
715 over 64
255 over 64

4. Which measurement is more precise than 1.3 m?
23 dm
400 cm
4 m
2.50 m

5. Find 2 and 2 over 3 • 11 over 4.
16 over 7
31 over 3***
1
none of these

6. Evaluate a • b for a = 77 over 8 and b = 15 over 16.
714 over 15
82 over 5
7105 over 128
749 over 128

7. What is the greatest precision that can be achieved with this ruler?
nearest 1 over 2 inch
nearest 1 over 16 inch
nearest 1 over 8 inch
nearest 1 over 4 inch

8. Estimate 67 over 8 + 46 over 19.
12
10
9
11***

9. Find 84 over 9 + 112 over 3.
21
201 over 9
13
191 over 2

9. Find 84 over 9 + 112 over 3.
21
201 over 9
13
191 over 2

10. Keri spent 3 hours on her homework. She spent equal amounts of time on all subjects. If Keri spent 1 over 2 hour on science, how many subjects did she study?
4 subjects
2 subjects
6 subjects
5 subjects

11. Find 5 and 1 over 2 gal – 4 over 5 gal. Round your answer appropriately.
41 over 4 gal
41 over 2 gal
33 over 4 gal
5 gal

12. Which of the following is NOT equivalent to 33 over 4 gal?
60 c
15 qt
30 pt
13 qt

13. Find 4 and 4 over 7 ÷ 51 over 3.
33 over 10
6 over 7
3 over 4
21 over 32

14. Find 1 and 3 over 14 + 7 over 14.
14 over 7
13 over 7
15 over 14
20 over 28

15. Find 8 and 8 over 13 + 24 over 13.
1012 over 13
62 over 13
4 over 13
74 over 13

16. Find 4 and 1 over 2 • 23 over 5.
44 over 5
28 over 9
117 over 10
34 over 9

17. Find 56 in. – 10.8 in. Round your answer appropriately.
45.2 in.
4.5 in.
45 in.
45.20 in.

18. Find 1 over 5 • 3 over 5.
1 over 3
3
3 over 10
3 over 25

19. Find 3 over 4 – 1 over 8.
21 over 32
1
5 over 8
11 over 16

20. What is the greatest precision that can be achieved with this ruler?
graphic
nearest 1 over 16 inch.
nearest 1 over 4 inch.
nearest 1 over 2 inch.
nearest 1 over 8 inch.

Thank you

Let's start at the beginning: Do you know how to convert and add fractions?

I think #18 is D: 3/25

So for that first problem, we want them to have the same denominator. Let's see if we can find an LCD (least common denominator)

10: 10, 20, (30), 40...
6: 6, 12, 18, 24, (30)

So they have thirty in common. Now we multiply both the top number of the fractions (The numerator) and the bottom (the denominator)
31 x 3
10 x 3

21 x 5
6 x 5
Then add the Numerators and simplify

I think #9 is 20 and 1/9

Kind of @CellLover727

thanks

and #15 is 10 12/13 ?

first of all, we write fractions this way in this format:

1. Find 31 over 10 + 21 over 6.
= 31/10 + 21/6
= 93/30 + 105/30
= 198/30 = 33/5

none of you given choices match this

#2 makes no sense

#3.
a • b for a = 75 over 8 and b = 3 over 8
a • b for a = 75/8 and b = 3/8
a • b = (75/8)(3/8)
= 225/64, again, nothing matches.

#4. really ?

#5
2 and 2 over 3 • 11 over 4
= 2 2/3 * 11/4
= (8/3)(11/4)
= 88/12 = 22/3 , none of these

What is this ????

Pearson

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Go to Prentice Hall Mathematics: Course 2 2008/10 Student Home Page
Chapter Test
Operations with Fractions
Click the button next to the response that best answers the question.

1. Find 51 over 2 gal – 4 over 5 gal. Round your answer appropriately.
41 over 4 gal
41 over 2 gal
33 over 4 gal
5 gal
2. Find 88 over 13 + 24 over 13.
1012 over 13
62 over 13
4 over 13
74 over 13
3. Find 414 over 17 + 22 over 17.
26 over 17
12 over 17
616 over 17
312 over 17
4. Estimate 63 over 8 ÷ 23 over 4.
2
4
3
5
5. Find 4 ÷ 12 over 5.
53 over 5
2 over 5
26 over 7
5 over 28
6. Estimate 78 over 9 + 45 over 18.
12
13
11
10
7. Use benchmarks to estimate 11 over 13 + 1 over 5.
3
2
1
11 over 2
8. Estimate 64 over 5 • 15 over 8.
6
14
9
192
9. Estimate 171 over 5 – 5 over 6.
19
16
18
17
10. Find 916 over 19 – 52 over 19.
414 over 19
47 over 19
14 over 19
514 over 19
11. Rich measures the width of one cardboard strip as 5 over 6 ft. A second cardboard strip is 2 over 3 ft wide. Estimate the combined width of the cardboard strips.
2 ft
11 over 2 ft
1 ft
3 ft
12. Find 7 – 31 over 3.
62 over 3
32 over 3
41 over 3
101 over 3
13. Evaluate a • b for a = 77 over 8 and b = 15 over 16.
714 over 15
82 over 5
7105 over 128
749 over 128
14. Find 21 over 6 • 3.
61 over 2
2 over 13
13 over 18
21 over 6
15. Find 31 over 10 + 21 over 6.
51 over 8
54 over 15
3 over 4
21 over 2
16. At a warehouse, boxes of merchandise are placed on shelves in stacks that are 15 boxes high. If each box is 175 over 8 inches in height, how tall is the stack of boxes?
266 in.
2643 over 8 in.
2621 over 4 in.
2555 over 8 in.
17. 553 over 5 tons = box lb
110,600
111,200
55,300
55,600
18. Which measurement is more precise than 1.3 m?
23 dm
400 cm
4 m
2.50 m
19. Find 84 over 9 + 112 over 3.
21
201 over 9
13
191 over 2
20. Find 13 over 14 + 7 over 14.
14 over 7
13 over 7
15 over 14
20 over 28

To solve these math problems, let's go through each question step by step:

1. Find 31 over 10 + 21 over 6.

To add fractions, we need to have the same denominator. The least common denominator for 10 and 6 is 30.

So, we need to convert both fractions to have a denominator of 30.

31/10 is equivalent to (31/10) * (3/3) = 93/30

21/6 is equivalent to (21/6) * (5/5) = 105/30

Now we can add the fractions:

93/30 + 105/30 = 198/30 = 66/10

The correct answer is 66 over 10.

2. 381 over 2 tons = box lb

To convert tons to pounds, we need to know that 1 ton is equal to 2000 pounds.

So, we can multiply 381/2 by 2000:

(381/2) * 2000 = 381000/2 = 190500

The correct answer is 190,500 pounds.

3. Evaluate a • b for a = 75 over 8 and b = 3 over 8.

To multiply fractions, we simply multiply the numerators and denominators.

(75/8) * (3/8) = (75 * 3) / (8 * 8) = 225/64

The correct answer is 225 over 64.

4. Which measurement is more precise than 1.3 m?

The options provided are 23 dm, 400 cm, 4 m, and 2.50 m.

To determine which measurement is more precise, we need to consider the units.

Since 1 meter is equal to 10 decimeters (dm) and 100 centimeters (cm), we can compare the options:

23 dm is less precise than 1.3 m because 23 dm is equivalent to 2.3 m.

400 cm is also less precise than 1.3 m because 400 cm is equivalent to 4 m.

4 m is equal to 1.3 m, so it is not more precise.

2.50 m is also equal to 1.3 m, so it is not more precise.

Therefore, none of the given options is more precise than 1.3 m.

5. Find 2 and 2 over 3 • 11 over 4.

To multiply a whole number and a fraction, we multiply the whole number by the numerator of the fraction, and then divide the result by the denominator of the fraction.

2 and 2/3 can be written as an improper fraction: (2 * 3 + 2) / 3 = 8/3

Now we can multiply the fractions:

(8/3) * (11/4) = (8 * 11) / (3 * 4) = 88/12 = 22/3

The correct answer is 22 over 3.

Now let's continue with the remaining questions.