word problems multiply
A cake recipe calls for 3/4 cup of sugar. A baker makes 4 batches of cakes. If she then triples that entire order for a massive party, how many total cups of sugar will she need?
9 cups
A baker starts with 5 cups of flour. He uses 2 cups to bake a loaf of bread. He divides the remaining flour into storage bags that hold 1/2 cup each. How many storage bags can he fill?
6 bags
4/4 x 4/4
1
1/2 ÷ 3/4
2/3
When adding or subtracting fractions, you must find a common denominator first
true
A chef has 3/4 of a giant sub sandwich left. He shares it equally among 3 workers. What fraction of the whole sandwich does each worker get?
1/4 of a sandwich
An art teacher buys 3 packages of yarn. Each package contains 2 yards of yarn. She opens all the packages and cuts the total yarn into pieces that are each 1/3 of a yard long. How many pieces can she make?
18 pieces
5/7 x 25/64
125/448
5/8 ÷ 15/16
2/3
When multiplying two proper fractions that are both less than 1, their product is always greater than either of the original fractions.
false
An art teacher has a ribbon that is 2 1/3 yards long. She cuts it into smaller pieces that are each 1/6 of a yard long for a project. How many pieces can she make?
14 pieces
A large water jug holds 10 gallons of water. A team drinks 2 1/2 gallons during a game. The remaining water is divided equally among the coaches into small bottles that each hold 3/4 of a gallon. How many bottles can be completely filled?
10 bottles
58/60 x 5/9 simplified
29/54
7/9 ÷ 14/15 simplifed
5/6
Three and one-fourth 3 1/4 is an example of a proper fraction.
false
A bucket holds 5 1/2 gallons of water. It develops a small leak and loses 3/4 of a gallon every hour. How much water is left in the bucket after 4 hours?
2 1/2 gallons
A chef starts with a 10-pound bag of flour. He uses 3 1/2 pounds in the morning and 2 1/4 pounds in the afternoon. He buys another 5-pound bag to add to his stock. If he divides all his remaining flour equally into storage containers that hold 3/4 of a pound each, how many containers can he completely fill?
12 containers
6 8/9 x 9 7/5
71 29/45
3 1/3 ÷ 2 1/2
1 1/3
The reciprocal of a non-zero proper fraction is always an improper fraction.
true
In the morning, the baker uses 3/8 of the bag to bake bread. In the afternoon, they use 2/3 of the remaining flour to make pastries. Before closing, the head chef brings over an extra 4 1/2 pounds of flour from another kitchen to add to the bag. They then accidentally spill 3/4 of a pound of flour onto the floor and have to sweep it away.The remaining flour is split equally into small containers that hold 7/8 of a pound each for storage.
10 containers
A gardener has a large 12-gallon barrel of liquid fertilizer. She uses 1/4 of it on her tomato plants. She uses 2/3 of the remaining fertilizer on her flower beds. She then adds 4 1/2 gallons of clean water to dilute the mixture, but accidentally spills 3/4 of a gallon onto the grass. If she distributes the final solution equally into small watering cans that hold 7/8 of a gallon each, how many cans can she fill completely?
7 watering cans
6 59/60 x 84 96/106
591 27/53
45 5/6 ÷ 11 11/12 simplifed
3 11/13
If A/B and C/D are two different fractions where a < b, c < d, and a = c, then the fraction with the larger denominator always has the smaller value
true