Diego has 3 plates. He puts 1/4 of a sandwich on each plate.
How many sandwiches does he use?
3/4
Lila has 12 stickers. She gives 4 stickers to her friend and then buys 3 more.
How many stickers does she have now?
12 − 4 = 8
8 + 3 = 11
There are 4 boxes. Each box has 1/3 of a pound of fruit.
How many pounds of fruit is that?
4 × 1/3 = 4/3
A number line shows jumps of 1/4.
If you make 3 jumps from 0, where do you land?
3 × 1/4 = 3/4
A chef uses 1 1/2 cups of flour for each batch of muffins.
How much flour is needed for 2 batches?
1 1/2 × 2 = 3 cups
A baker fills 5 trays with 2/6 of a pie each.
How much pie does she use in total?
10/6 (or 1 4/6)
A box holds 6 markers. A teacher buys 4 boxes and already had 5 markers at school.
How many markers does she have in total
6 × 4 = 24
24 + 5 = 29
A student pours 2/6 of a cup of paint into each of 5 jars.
How much paint does she use?
5 × 2/6 = 10/6 (or 1 4/6)
You start at 2/6 on a number line.
You make 4 jumps of 1/6.
Where do you land?
2/6 + 4/6 = 6/6 = 1
A student claims: “3 × 4/5 is greater than 4 × 3/5 because 3 is greater than 4.”
Is the student correct? Why or why not?
No.
3 × 4/5 = 12/5
4 × 3/5 = 12/5
They are equal, because multiplication is commutative.
A farmer pours 2/5 of a bucket of water onto each tree. He waters 7 trees.
How much water does he use altogether?
14/5 (or 2 4/5)
A toy store sells packs of 3 balloons. They sold 7 packs in the morning and 5 more packs in the afternoon.
How many balloons were sold altogether?
Morning: 3 × 7 = 21
Afternoon: 3 × 5 = 15
Total = 36 balloons
A pet store gives each puppy 3/8 cup of food.
If there are 6 puppies, how much food is needed?
6 × 3/8 = 18/8 = 2 2/8
A frog starts at 5/8 on a number line.
It hops backward 3 jumps of 1/8.
Where does it land?
5/8 − 3/8 = 2/8 = 1/4
A runner drinks 1 2/3 bottles of water each hour.
How much water does she drink in 3 hours?
1 2/3 × 3 = 5 bottles
A runner completes 3/8 of a mile each lap.
How many miles after 7 laps?
21/8 (or 2 5/8)
A swimmer practices 25 laps each day from Monday to Thursday.
On Friday, she swims 40 laps.
How many laps does she swim in 5 days?
Mon–Thu: 25 × 4 = 100
Friday: +40
Total = 140 laps
A gardener plants 7 rows of flowers. Each row contains 5/6 of a tray of seedlings.
How many trays of seedlings are planted?
7 × 5/6 = 35/6 = 5 5/6
You are at 7/10 on a number line.
You hop forward 5 jumps of 1/10, then back 3 jumps of 1/10.
Where do you end up?
Forward: 7/10 + 5/10 = 12/10
Back: 12/10 − 3/10 = 9/10
Two expressions both equal 12/4.
Which expression shows a different way to get the same amount?
A. 3 × 4/4
B. 4 × 3/4
C. 6 × 2/4
D. 12 × 1/4
Correct Answer: C
(6 × 2/4 = 12/4, but uses a different factor pair and non-unit fraction)
A science lab uses 2/3 of a cup of liquid per test.
For 9 tests, how much liquid do they use?
18/3 = 6 cups
A class is building craft kits.
Each kit needs 2 sheets of paper and 3 stickers.
They are making 18 kits.
If they have 50 sheets of paper and 70 stickers, do they have enough of each material?
Show both.
Paper needed: 2 × 18 = 36 → OK (50 ≥ 36)
Stickers needed: 3 × 18 = 54 → OK (70 ≥ 54)
Yes, they have enough of both materials.
A science class pours 4/5 of a liter of water into each container.
They fill 9 containers.
How many liters of water is that in mixed number form?
9 × 4/5 = 36/5 = 7 1/5 liters
A snail begins at 3/12 on a number line.
It crawls forward 8 jumps of 1/12, then backward 5 jumps of 1/12.
Where does the snail end up?
3/12 + 8/12 = 11/12
11/12 − 5/12 = 6/12 = 1/2
A recipe uses 2 1/4 cups of sauce for 1 pizza.
A chef has 10 cups of sauce.
How many pizzas can she make?
2 1/4 = 9/4
10 ÷ (9/4) = 10 × 4/9 = 40/9 = 4 4/9 pizzas
She can make 4 pizzas with sauce left over.