IM: 6.4.4: How Many Groups? (Part 1) (Practice)

By Newsela Staff
Last updated 2 months ago
13 Questions
Consider the problem: A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week. How many weeks does one bag last?
1.

Draw a diagram to represent the situation and label your diagram so it can be followed by others. Answer the question.

2.

Write a multiplication or division equation to represent the situation.

3.

Multiply your answer in the first question (the number of weeks) by 3/4. Did you get 3 as a result? If not, revise your previous work.

4.

Use the diagram to answer the question: How many 1/3s are in 12/3? The hexagon represents 1 whole. Explain or show your reasoning.


5.

Which question can be represented by the equation ? \sdot \frac{1}{8} =3?

Write two division equations for each multiplication equation.
6.

15 \cdot 2/5 = 6

7.

6 \cdot 4/3 = 8

8.

16 \cdot 7/8 = 14

9.

Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share the cost equally. Noah brought $13 for his ticket. Did he bring enough money to get into the park? Explain your reasoning.

Write a division expression with a quotient that is:
10.

greater than 8 \div 0.001

11.

less than 8 \div 0.001

12.

between 8 \div 0.001 and 8 \div 1/10

Find each unknown number.
13.
12 is 150% of what number? _______

5 is 50% of what number? _______

10% of what number is 300? _______

5% of what number is 72? _______

20 is 80% of what number? _______