Those Dreaded Fractions - Pretest

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| By Eliza66

Eliza66

Community Contributor

Quizzes Created: 1 | Total Attempts: 221

Questions: 10 | Attempts: 221 | Updated: Mar 22, 2023

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This is a pre-quiz for "Those Dreaded Fractions" curriculum web. Students should select the best choice among the given answers. Fractions should always be in simplest form. Calculators are NOT permitted.

Questions and Answers

1.

Which of the following is NOT equivalent to the other fractions?
- A.
  
  3/5
- B.
  
  60/100
- C.
  
  4/6
- D.
  
  21/35
- E.
  
  6/10
Correct Answer
C. 4/6

Explanation
The fractions 3/5, 60/100, and 6/10 are all equivalent because they represent the same value, which is 0.6 or 60%. However, the fraction 4/6 is not equivalent to the others because it can be simplified to 2/3, which is a different value.

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2.

Calculate 3/5 + 2/3
- A.
  
  5/8
- B.
  
  2/5
- C.
  
  19/30
- D.
  
  1
- E.
  
  19/15
Correct Answer
E. 19/15

Explanation
To add fractions, we need to find a common denominator. In this case, the common denominator is 15. To convert 3/5 to have a denominator of 15, we multiply the numerator and denominator by 3, resulting in 9/15. Similarly, to convert 2/3 to have a denominator of 15, we multiply the numerator and denominator by 5, resulting in 10/15. Adding these fractions together gives us 9/15 + 10/15 = 19/15. Therefore, the correct answer is 19/15.

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3.

Find the sum of 4/9 and 3/4
- A.
  
  43/36
- B.
  
  4/7
- C.
  
  1/3
- D.
  
  7/13
- E.
  
  3
Correct Answer
A. 43/36

Explanation
To find the sum of fractions, we need to have a common denominator. In this case, we can use 36 as the common denominator. We then convert 4/9 and 3/4 into fractions with the denominator 36. Multiplying the numerator and denominator of 4/9 by 4, we get 16/36. Multiplying the numerator and denominator of 3/4 by 9, we get 27/36. Adding these two fractions together, we get 43/36. Therefore, the correct answer is 43/36.

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4.

Without calculating anything, what whole number is 7/8 + 15/16 closest to?
- A.
  
  1
- B.
  
  2
- C.
  
  4
- D.
  
  22
- E.
  
  24
Correct Answer
B. 2

Explanation
Without calculating anything, we can determine that 7/8 is slightly less than 1 and 15/16 is slightly less than 1 as well. When adding these fractions together, we can estimate that the sum will be slightly less than 2. Therefore, the whole number that 7/8 + 15/16 is closest to without calculating is 2.

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5.

Find the product of 7/8 and 4/5
- A.
  
  28/40
- B.
  
  7/10
- C.
  
  35/32
- D.
  
  32/35
- E.
  
  72/40
Correct Answer
B. 7/10

Explanation
To find the product of fractions, we multiply the numerators together and the denominators together. In this case, multiplying 7/8 and 4/5 gives us (7*4)/(8*5) = 28/40. This fraction can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 4. Simplifying 28/40 gives us 7/10. Therefore, the correct answer is 7/10.

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6.

Find the least common multiple (lcm) of 35 and 42.
- A.
  
  1
- B.
  
  7
- C.
  
  210
- D.
  
  1470
- E.
  
  There is none
Correct Answer
C. 210

Explanation
The least common multiple (LCM) of two numbers is the smallest number that is divisible by both numbers. In this case, we need to find the LCM of 35 and 42. The prime factors of 35 are 5 and 7, while the prime factors of 42 are 2, 3, and 7. To find the LCM, we need to take the highest power of each prime factor that appears in either number. Therefore, the LCM of 35 and 42 is 2 * 3 * 5 * 7 = 210.

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7.

Calculate 9/8 divided by 3/4
- A.
  
  27/32
- B.
  
  2/3
- C.
  
  24/36
- D.
  
  36/24
- E.
  
  3/2
Correct Answer
E. 3/2

Explanation
To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. In this case, 9/8 divided by 3/4 is equal to (9/8) * (4/3). Multiplying the numerators gives us 36, and multiplying the denominators gives us 24. Therefore, the answer is 36/24, which simplifies to 3/2.

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8.

Which of the following problems would be solved by finding the product 18 1/2 times 12 1/4?
- A.
  
  Eliza was 18 1/2 inches long at birth. Within a year she had grown 12 1/4 inches. How tall was she at age one?
- B.
  
  Amanda weighed 12 1/4 pounds at age three months. By six months her weight was up to 18 1/2 pounds. How much did she gain in that time?
- C.
  
  Ethan works 18 1/2 hours one week and 12 1/4 hours the next week. How many total hours has he worked in that two-week period?
- D.
  
  Ivan's flower bed measures 18 1/2 feet long. He plans to put flower bulbs every 12 1/4 inches. How many bulbs does he need to purchase?
- E.
  
  Sue wants to carpet her living room. Her room measures 18 1/2 feet long nd 12 1/4 feet wide. How many square feet of carpeting should she order?
Correct Answer
E. Sue wants to carpet her living room. Her room measures 18 1/2 feet long nd 12 1/4 feet wide. How many square feet of carpeting should she order?

Explanation
The correct answer is that Sue wants to carpet her living room. Her room measures 18 1/2 feet long and 12 1/4 feet wide. To determine how many square feet of carpeting she should order, we need to find the product of the length and width of the room.

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9.

Which of the following problems would be solved by finding the difference of 18 1/2 and 12 1/4?
- A.
  
  Eliza was 18 1/2 inches long at birth. Within a year she had grown 12 1/4 inches. How tall was she at age one?
- B.
  
  Amanda weighed 12 1/4 pounds at age three months. By six months her weight was up to 18 1/2 pounds. How much did she gain in that time?
- C.
  
  Ethan works 18 1/2 hours one week and 12 1/4 hours the next week. How many total hours has he worked in that two-week period?
- D.
  
  Ivan's flower bed measures 18 1/2 feet long. He plans to put flower bulbs every 12 1/4 inches. How many bulbs does he need to purchase?
- E.
  
  Sue wants to carpet her living room. Her room measures 18 1/2 feet long nd 12 1/4 feet wide. How many square feet of carpeting should she order?
Correct Answer
B. Amanda weighed 12 1/4 pounds at age three months. By six months her weight was up to 18 1/2 pounds. How much did she gain in that time?

Explanation
The correct answer is "Amanda weighed 12 1/4 pounds at age three months. By six months her weight was up to 18 1/2 pounds. How much did she gain in that time?" This question involves finding the difference between Amanda's weight at three months and her weight at six months to determine how much weight she gained in that time period.

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10.

Which of the following problems would be solved by finding the quotient of 48 1/2 and 12 1/4?
- A.
  
  Eliza was 48 1/2 inches tall at age 6. Within three years she had grown 12 1/4 inches. How tall was she at age nine?
- B.
  
  Amanda weighed 12 1/4 pounds at age three months. By six years, her weight was up to 48 1/2 pounds. How much did she gain in that time?
- C.
  
  Ethan was scheduled to work 48 1/2 hours one week, but he took off 12 1/4 hours for his sick child. How many total hours did he work that week?
- D.
  
  Ivan's landscape bed measures 48 1/2 feet long. He plans to plant bushes every 12 1/4 feet. How many bushes should he buy?
- E.
  
  Sue wants to sod her side yard, which measures 48 1/2 feet long and 12 1/4 feet wide. How much sod should she order?
Correct Answer
D. Ivan's landscape bed measures 48 1/2 feet long. He plans to plant bushes every 12 1/4 feet. How many bushes should he buy?

Those Dreaded Fractions - Pretest

Which of the following is NOT equivalent to the other fractions?

Calculate 3/5 + 2/3

Find the sum of 4/9 and 3/4

Without calculating anything, what whole number is 7/8 + 15/16 closest to?

Find the product of 7/8 and 4/5

Find the least common multiple (lcm) of 35 and 42.

Calculate 9/8 divided by 3/4

Which of the following problems would be solved by finding the product 18 1/2 times 12 1/4?

Which of the following problems would be solved by finding the difference of 18 1/2 and 12 1/4?

Which of the following problems would be solved by finding the quotient of 48 1/2 and 12 1/4?