(1) Represent and explain the relationship between division and fractions. (2) Solve problems involving division of whole numbers leading to answers that are fractions.
Shade ¾ of the rectangle. Explain or show your reasoning.
Divide into 4 equal pieces (3 lines, 4 spaces). 3 of the 4 pieces should be shaded.
15
Each workbook is ⅜ inch thick. How many inches is a stack of 5 workbooks? Explain or show your reasoning.
15/8 inches. 5 x ⅜ = (5x3)/8
15
Audrey has 36 fish in 4 aquariums. There are the same number of fish in each aquarium. How many fish are in each aquarium? Show or explain your reasoning.
There are 9 fish in each aquarium since 4 x 9 = 36.
15
There are 24 dogs at a shelter. There are 4 times as many dogs as cats at the shelter. Easton wants to know how many cats are there at the shelter? Show or explain your reasoning.
There are 6 cats at the shelter since 24 ÷ 4 = 6.
15
A bottle holds 7/10 liter of water. How much water do 6 bottles hold? Explain or show your reasoning.
42/10 or 4 and 2/10 liters because 6 x 7/10 = 42/10.
15
What is the area of the rectangle. Explain or show your reasoning.
96 square centimeters since 12 x 8 = 96.
20
Parker, Tucker, and Ashton equally share 18 sheets of construction paper for an art project. How many sheets of paper do they each get? Explain or show your reasoning.
6 sheets of paper since 18 ÷ 3 = 6.
20
3 students equally share 1 tube of glue for an art project. How much glue does each student get? Explain or show your reasoning.
⅓ tube of glue
15
4 hikers equally share 3 liters of water. How many liters of water does each hiker drink? Explain or show your reasoning.
¾ liter because each hiker gets ¼ of each liter of water.
25
The four fifth grade classes equally share 5 pizzas. How many pizzas will each class get? Explain or show your reasoning.
5/4 pizza. Each class gets ¼ of each pizza.
25
Aiden cuts an 11 inch strip of paper into 5 equal parts. How many inches long is each part?
11/5 inches
10
AvaLea cuts a strip of paper into 5 equal parts. Each part is 7/8 inches long. How long was the strip of paper?
35/5 inches, or 7 inches (35 ÷ 5 = 7)
10
Nina is traveling to visit her grandparents who live 125 miles away. She stops for lunch ⅔ of the way. How far has Nina traveled? Explain or show your reasoning.
83 ⅓ miles
25
Write a division equation to represent the situation.