Add & Subtract Fractions
Marisol drinks 2/11 of a jug of water in the morning and 6/11 of the jug in the afternoon.
What fraction of the jug does she drink in all?
8/11 of the jug
Each muffin is 1/4 of a tray. If a baker makes 3 trays of muffins, what fraction of a single tray does that equal altogether?
3/4 of a tray
A ribbon is 4 meters long. Each piece you cut is 1/2 meter.
How many pieces can you cut?
8 pieces
You and your friend mow a lawn.
You mow 3/8 of the lawn, and your friend mows 1/8 of the lawn.
What fraction of the lawn is left to mow?
1/2 of the lawn
In a game, you earn 1/2 point just for joining and then 3 rounds each worth 1/4 point.
How many points do you have after the 3 rounds?
1 1/4 points
At a party, 1/3 of a cake is chocolate, and 2/5 of the cake is vanilla.
What fraction of the cake is either chocolate or vanilla?
11/15 of the cake
A garden is 2/3 of a yard wide and 5/6 of a yard long.
What fraction of a square yard is the garden’s area?
5/9 of a square yard
You have 1/2 of a chocolate bar and want to share it equally among 4 friends.
What fraction of the whole chocolate bar does each friend get?
1/8 of the chocolate bar
Mia eats 1/4 of a pan of brownies.
Then she eats 1/2 of what is left.
What fraction of the entire pan has she eaten?
5/8 of the pan
Evaluate this expression that represents a snack recipe:
(5/6 — 1/3) ÷ 2
1/4
In one week, Ben runs 2 1/4 miles on Wednesday and 3 2/3 miles on Saturday.
How many miles does he run altogether? Give your answer as a mixed number in simplest form.
5 11/12 miles
A recipe uses 2 1/2 cups of flour for each pan of brownies.
How much flour is needed to make 3 1/4 pans of brownies?
8 1/8 cups
A bottle contains 2/3 liters of juice. Each cup holds 5/6 liters.
How many cups can you completely fill?
4/5 of a cup
A candy bar is 1 whole.
First, Jack eats 1/3 of it. Then Maria eats 2/3 of the remainder.
What fraction of the entire candy bar does Maria eat?
4/9 of the bar
Milo walks 3/5 mile to a friend’s house and then another 1/10 mile to the park.
Afterward, he walks home by going 4 times the distance from the park back to his house.
If his total “going home” distance is represented by
4 * (3/5 + 1/10), how far is that in miles?
2 2/5 miles
A rope is 4 1/4 meters long. Lee cuts off 2 3/4 meters.
How many meters of rope are left? Answer in simplest form.
1 1/2 meters
Draw (or imagine) a rectangle that is 1 unit by 1 unit.
First shade 3/4 of the rectangle vertically. Then shade 2/3 horizontally in a different color.
What fraction of the whole rectangle is shaded twice?
1/2 of the rectangle
A rope is 3 1/2meters long. Each jump rope you make uses 1 3/4 meters.
How many jump ropes can you make from the rope?
2 jump ropes
A teacher has 1 full sheet of stickers.
First, she gives 1/5 of the sheet to Class A.
Then she gives 1/2 of the remaining stickers to Class B.
Draw a bar model to represent this situation, and then find what fraction of the original sheet is left after both classes get their stickers.
2/5 of the original sheet
A challenge expression for a math contest is:
2 + 3 * (1/2 + 1/3)
This represents 2 whole points plus 3 times a bonus score.
What is the total score?
4 1/2 points
For a science project, Ava measures three liquids and pours them into one beaker:
1 2/3 liters of blue liquid
5/6 liter of red liquid
3/4 liter of clear liquid
How many liters are in the beaker altogether?
3 1/4 liters
A giant cookie is cut into 12 equal slices.
You eat 2/3 of the cookie, and your friend eats 3/4 as much cookie as you do.
1. What fraction of the whole cookie does your friend eat?
2. How many slices does that equal?
1. 1/2 cookie
2. 6 slices
A baker has 2 1/2 kg of flour. Each batch of muffins uses 3/8 kg of flour.
1. How many full batches can she make?
2. How much flour is left over?
2. 1/4 kg
You have 1 full jug of lemonade.
First, you pour 3/10 of the jug into Pitcher A.
Of what’s left, you pour 3/4 into Pitcher B.
1. What fraction of the whole jug goes into Pitcher B?
2. What fraction of the jug is still in the original container after both pitchers are filled?
1. 21/40 of the jug
2. 7/40 left
A Jeopardy-style bonus round gives points using this expression:
3 (4/5 — 1/10) + 1/2
What is the total number of points?
2 3/5 points