Fractions Test Review

Fractions Test Review

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Multiple Choice

Estimate $$1\ \frac{5}{8}\ -\ 1\ \frac{1}{10}$$   A reminder that $$\frac{5}{8}$$  or any fraction may also be written as 5/8.

• 0

• 1/2

• 1

• 1 1/2

​Review Explanation #1

​The number 1 1/10 would round to 1. It would also be closest to 1 if we used benchmark fractions.

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The number 1 5/8 would round up to 2, but the closest benchmark fraction would be 1 1/2. In this case it would be a better estimate to use 1 1/2, because 1 5/8 is very close to 1 1/2.​

Multiple Choice

Charles likes basketball! He would like to make the team next year and plans to practice at least $$2\ \frac{3}{4}$$   hours this weekend. If he practices $$1\ \frac{1}{3}$$   hours on Saturday and $$1\ \frac{3}{8}$$  hours on Sunday, will he meet his goal? Hint* 18/24 can be simplified to 6/8, which can be simplified again to 3/4.

• Yes, he will practice a total of 2 17/24 hours, and 2 17/24 > 2 3/4.

• No, he will practice a total of 2 17/24 hours, and 2 17/24 < 2 3/4.

• Yes, he will practice a total of 2 19/24 hours, and 2 19/24 > 2 3/4.

• No, he will practice a total of 2 19/24 hours, and 2 19/24 < 2 3/4.

​Review Explanation #2

​First, Michael Jordan is the best basketball player of all time! :)

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Second, we need to add- the practice times from Saturday and Sunday together and then compare that sum to his goal of 2 3/4 hours of practice. Watch the video for a breakdown of how to do this.​

Multiple Choice

Evaluate this statement, $$5\ \frac{5}{8}-3\ \frac{1}{3}$$   = $$2\ \frac{4}{5}$$   because 5 - 3 = 2, 5 - 1 = 4, and 8 - 3 = 5. Agree or disagree and then give your evidence by detailing how you subtract mixed numbers with unlike denominators.

• Agree. Because it is true that 5 - 3 = 2, 5 - 1 = 4, and 8 - 3 = 5. If the subtraction is correct, the statement must also be correct.

• Disagree. Because it is not true that 5 - 3 = 2, 5 - 1 = 4, and 8 - 3 = 5.

• Agree. Because the subtraction is correct and it is easier to do it this way than to find common denominators.

• Disagree. The correct answer is 2 7/24. Our first step is to find a common denominator for 5/8 and 1/3, then subtract with the new equivalent fractions.

​Review Explanation #3

​Evaluating equations and being able to explain your reasoning takes high level thinking! In other words, your brain is getting a workout.

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To start this one, we should first notice that the person's reasoning is incorrect because they did not find a common denominator first.​

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Multiple Choice

What is the sum of $$6\ \frac{5}{6}+4\ \frac{1}{2}$$  ? Choose the simplified answer.

• 11 1/6

• 11 1/3

• 10 1/3

• 11 2/6

​Review Explanation #4

​This question will use all the skills you learned in the fractions unit. You will need to find a common denominator, add mixed numbers, convert improper fractions, and simplify.

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