IM Math: Unit 4 Assessment

Select all the fractions that are greater than 1/2.

• 50/100

• 50/101

• 8/15

• 5/8

• 12/8

Answer explanation

There are a variety of strategies you can use to approach this problem. You could find a helpful

fraction equivalent to 1/2, or look at whether the numerator is more or less than

one-half of the denominator.

12/8 is greater because it becomes 1.5 (1 1/2)

8/15 is more than half of the denominator (8 is greater than 7.5)

5/8 is greater than 1/2 because it's more than half of the denominator (5 is greater than 4)

Select all the situations that can be represented by 1/3 * 6.

• Noah has 6 meters of rope. How many pieces of rope of length 1/3 meter can he cut from it?

• Jada made 6 free throws. Kiran made 1/3 as many free throws as Jada. How many free throws did Kiran make?

• Mai’s goal is to mow 6 lawns in a week. She mowed 1/3 of a lawn. What fraction of the lawns has she cut?

• Clare swims 1/3 of a mile each day, for 6 days. How many miles is that in total?

• Lin has 1/3 pound of peanuts. She split them into 6 portions. How many pounds of peanuts are in each portion?

Order these numbers from least to greatest: 0, 1, 1/2, 10/11, 51/100, 24/50, 3/20.

• 0, 3/20, 24/50, 1/2, 51/100, 10/11, 1

• 0, 3/20, 1/2, 10/11, 51/100, 24/50, 1

• 0, 3/20, 24/50, 51/100, 1/2, 10/11, 1

• 0, 1/2, 3/20, 24/50, 51/100, 10/11, 1

Answer explanation

You can compare fractions by writing them with equivalent denominators. However, this problem is much easier to solve by comparing the numerator of each fraction to the denominator and ball-parking the relationship.

Jada has 4 meters of ribbon. How many pieces of ribbon of length 1/3 meter can she cut from it?

• A) 10 pieces

• B) 12 pieces

• C) 14 pieces

• D) 16 pieces

Answer explanation

What is 2 ÷ 5? HINT: You are not being asked to actually solve this; rather what does "2 ÷ 5" look like as a fraction.

• A) 2/5

• B) 5/2

• C) 1/2

• D) 1/5

Compute: 3/5 * 8/12

HINT: Simplify your answer. You simplify by dividing the numerator and denominator by their GCF.

• 1/5

• 2/5

• 3/10

• 4/5

Answer explanation

When you multiply fractions, you go across.

So "3/5 x 8/12" would be "3 x 8" and "5 x 12". That gives us 24/60.

You then simplify your answer by dividing the top and bottom by the GCF, which is 12; 24 ÷12 is 2 and 60 ÷ 12 is 5, so you end up with 2/5 as your answer.

Compute: 6 / 1/3

• 2

• 18

• 3

• 6

Answer explanation

Remember KFC (keep-change-flip). For 6 ÷ 1/3, you keep 6/1 (6, basically), change the ÷ to a ×, and then flip the 1/3 to 3/1. This gives us 6/1 x 3/1, which is 18.

Answer explanation

KFC.

1/8 ÷ 2 → 1/8 x 1/2 →1/16

Compute: 7/8 + 3/5

HINT: Remember, to add or subtract fractions both fractions must have the same denominator. You can make them the same by finding the GCF of both denominators and then multiplying by whatever number will get you there.

ANOTHER HINT: You don't have to convert your response into a mixed number unless you really want to.

• 31/40

• 46/40

• 1/2

• 10/13

• 59/40

Answer explanation

The GCF of the denominators would be 40 because 8 x 5 = 40. For 7/8 you multiply the top and bottom by 5 to get 35/40. For 3/5 you multiply the top and bottom by 8 to get 24/40. You then add the numerators, which gives you 59/40. You could stop here, or convert your answer into a mixed number: 1 19/40

Compute: 7/8 - 3/5

• 19/40

• 35/40

• 1/8

• 11/40

Answer explanation

Go through the same process as the previous question only this time you subtract the numerators. That gives us 11/40.