1. 3.45 as a fraction in simplest form.

4 3/4

4 9/20

3 3/4

3 9/20

  1. Write the fraction as a decimal. 28/15

1.6

1.86

2.86

28.15

  1. Samuel measured three ropes as 3 63/80 feet, 3 1/5 feet, and 3 11/20 feet. Put the measurements of the ropes in order from least to greatest

3 1/5 < 3 11/20 < 3 63/80

3 1/5 < 3 63/80 < 3 11/20

3 11/20 < 3 1/5 < 3 63/80

3 63/80 < 3 11/20 < 3 1/5

  1. Kaylin recorded how much she greq in inches each month for three months and recorded the results as: 0,35, 1/3, 2/5. List the inches she grew each month in order from least to greatest

0.35, 1/3, 2/5

1/3, 0.35, 2/5

1/3, 2/5, 0.35

2/5, 1/3, 0.35


5.Write an equivalent expression for 10x + 2 using the Distributive Property.


x(10 + 2 )

10(x + 2)

2(x+2)

2(5x + 1)

  1. Write an equivalent expression for 3f + 4s + 2f.

9fs

7fs +2f

5f + 4s

12fs

  1. The length of a marathon is 138,435 ft. Each stride, or step, by a particular runner is 3 ft long. Does the number of strides the runner takes fit evenly into the length of the race? Explain.



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  1. Marietta is selling cheeses for the holiday fund-raiser. On Monday, she sold 7/9 of the boxes of cheeses. On Tuesday she restocked her supply and sold 0.85 of the boxes of cheeses On which day did Marietta sell more boxes? Explain.



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  1. Is 38/53 in simplest form? Explain why or why not. If not, write it in simplest form.




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  1. A number is written with the following factorization: 2 to the third power times 4 times 5. Is this factorization a prime factorization? explain why or why not. If it is not correct, give the correct prime factorization of the number.




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  1. Jack practices his trumpet every 3 days. He goes for a run every 4 days. If he did both today, in how many more days will he practice his trumpet and go for a run on the someday? Show your work and explain.



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Whoever answers these all corrects then I will thank them and rate all stars and mark branliest answer going for 15 points!

Verified Answer :

  1. 3 9/20
    2. 1.86
    3. 3 63/80 < 3 11/20< 3 1/5
    4 1/3 , .35, 2/5
    5.2(5x+1)
    6. 5f+4s
    7. Yes it does because the number of steps the runner will take is 46,145. There is no decimal.
    8. She sold more on Tuesday because the decimal 7/9= .777 repeating which is smaller than.85.
    9. Yes it is in simplest form
    10. No it is not
    11. 12 more days

Answer:

Step-by-step explanation: 1) 3 9/20 As 9/20 = 0.45 → 3+0.45 = 3.45 D

2) 28/15 = 1.86 B

3) 3 63/80 = 3.78

   3 1/5 = 3.2

   3 11/20 = 3.55

This way, 3 1/5 < 3 11/20 < 3 63/80 A

4)1/3 = 0.33

   2/5 = 0.4

This way, 1/3 , 0.35 , 2/5 B

5) 2 is the commom figure. 2(5x + 1) D

6) 3f + 2f + 4s = 5f + 4s (we can sum only equal letters) C

7) Yes, it fits because 138,435/3 = 46,145 which is a round number, no decimals.

8) 7/9 = 0.78

As 0.85 > 0.78 Tuesday

9) Yes, it is because 53 is a prime number, there's no way to make it simpler.

10) 2³ x 4 x 5 is not a prime factorization because 4 is not a prime number. To be a prime factorization

4 = 2² ∴ 2³ x 2² x 5 = 2⁵ x 5

11) We need to find de Least Common multiple which is 12. In 12 says they will do the tasks on the same day

3 , 4 |2

3 , 2 |2

3 , 1 |3

1 , 1

2 x 2 x 3 = 12