Mastering Multi-Step Fraction Problems for 6th Graders

1. Sarah has 3/4 of a pizza. She wants to share it equally among 3 friends. How much pizza will each friend get? After sharing, how much pizza will Sarah have left?

• Each friend gets 1/3 of a pizza, and Sarah has 1/4 pizza left.

• Each friend gets 1/2 of a pizza, and Sarah has 1/4 pizza left.

• Each friend gets 1/4 of a pizza, and Sarah has 0 pizza left.

• Each friend gets 1/4 of a pizza, and Sarah has 1/2 pizza left.

2. A recipe requires 2/3 cup of sugar. If Maria wants to make 1/2 of the recipe, how much sugar does she need? If she decides to make 3 batches of the original recipe, how much sugar will she use in total?

• 1/2 cup for half the recipe; 3 cups for 3 batches.

• 1/3 cup for half the recipe; 2 cups for 3 batches.

• 1/4 cup for half the recipe; 1 cup for 3 batches.

• 2/3 cup for half the recipe; 1 cup for 3 batches.

3. A gardener has 5/6 of a bag of soil. He uses 1/3 of it to fill a pot. How much soil does he have left after filling the pot? If he then uses 1/2 of the remaining soil for another pot, how much soil is left?

• 1/4

• 5/18

• 2/9

• 3/8

4. A car can travel 2/5 of a mile on 1/10 of a gallon of gas. How far can it travel on 1 gallon of gas? If the car has 3 gallons of gas, how far can it travel in total?

• 8 miles

• 6 miles

• 12 miles

• 10 miles

5. Emily read 3/5 of a book in 2 days. If she continues to read at the same pace, how much of the book will she read in 5 days? How much of the book will she have left to read?

• She will read 4/5 of the book and have 1/5 left to read.

• She will read 2/3 of the book and have 1/3 left to read.

• She will read 1/2 of the book and have 1/2 left to read.

• She will read 1 whole book and have 1/2 of the book left to read.

6. A baker uses 1/4 of a pound of flour for each batch of cookies. If he makes 6 batches, how much flour does he use in total? If he has 2 pounds of flour, how much will he have left after making the cookies?

• 1 pound

• 0.5 pounds

• 2 pounds

• 1.5 pounds

7. A tank can hold 3/4 of a gallon of water. If it is currently filled with 1/2 gallon, how much more water can it hold? If the tank is filled to capacity, how much water will be in it?

• 3/4 gallon more; 1 gallon when full.

• 1/2 gallon more; 1 gallon when full.

• 1/4 gallon more; 3/4 gallon when full.

• 1/8 gallon more; 1/2 gallon when full.

8. A recipe calls for 1/3 cup of oil. If John wants to make 4/5 of the recipe, how much oil does he need? If he has 1 cup of oil, how much will he have left after making the recipe?

• 1/2 cup of oil and 1/2 cup left

• 2/5 cup of oil and 1/5 cup left

• 1/4 cup of oil and 3/4 cup left

• John needs 4/15 cup of oil and will have 11/15 cup left.

9. A school has 2/3 of a mile track. If a student runs 1/4 of the track, how much of the track is left? If the student runs the remaining track 3 times, how far will he have run in total?

• 5/3 miles

• 3/2 miles

• 2 miles

• 1 mile

10. A bottle contains 5/6 of a liter of juice. If 1/2 of it is poured out, how much juice remains in the bottle? If another 1/3 of the remaining juice is poured out, how much juice is left?

• 5/18 liters

• 2/3 liters

• 1/2 liters

• 1/4 liters