Multiplying
Dividing
Writing Equivalent Expressions
Word Problems
Chaos
100

1/3 x 1/5

1/15

100

8÷1/3

24

100

Write an equivalent expression expression for the following: 

One-half the sum of one-half and one-third

1/2 (1/2+1/3)

100

Mr. Johnson baked 2 dozen cookies. Two-thirds of the cookies were chocolate chip. How many chocolate chip cookies did Mr. Johnson bake?

16 cookies were chocolate chip

100

Write a division expression that matches the situation:

Carly and Ramil share 7 yards of ribbon equally. How much ribbon will each get?

7÷2

200

3/4 of 1/2

3/8 

200

6÷1/4

24

200

Write an equivalent expression expression for the following:

Two and one-third times the sum of nine and twelve

2 1/3 (9+12)

200

A skating rink sold 66 tickets. Of these, 2/3 were children's tickets, and the rest were adult tickets. What total number of ADULT tickets were sold?

22 adult tickets were sold

200

Kelvin ordered 7 pizzas for a birthday party. The pizzas were cut in eigths. How many slices were there?

56 slices

300

1.5x34

51

300

1/4÷5

1/20

300

Write an equivalent expression expression for the following:

Twelve divided by the difference between one and a half and three fourths

12÷(1 1/2-3/4)

300

A baseball team played 32 games and lost 8. Katy was the catcher in 5/8 of the winning games and 1/4 of the losing games. What fraction of the games did the team win?

24/32 or 3/4

300

A castle has to be guarded 24 hours a day.  7 knights are ordered to split each day’s guard duty equally.  How long will each knight spend on guard duty in one day? Round to the nearest tenths place.

Record your answer in total hours.

Decimal: 3.4 hours

Fraction: 3 3/7

400

1.5x0.33

0.495

400

1.2÷0.3

4

400

Write an equivalent expression expression for the following:

One-eighth the sum of twenty-three and seventeen

1/8(23+17)

400

A baseball team played 32 games and lost 8. Katy was the catcher in 5/8 of the winning games and 1/4 of the losing games. In how many games did Katy play catcher?

Katy played catcher in 17 games.

400

Write a division expression that matches the situation:

It takes half of a yard of ribbon to make a bow. How many bows can be made with 7 yards of ribbon?

7÷1/2

500

2 3/4 x 2/5

1 2/20 or 1 1/10

500

102.4 ÷ 1.6

64

500

Write an equivalent expression expression for the following:

Three less than one-fourth of the product of eight-thirds and nine

1/4(8/3x9)-3

500

In Mrs. Elliott's garden, 1/8 of the flowers are red, 1/4 of them are purple, and 1/5 of the remaining flowers are pink. If there are 128 flowers, how many flowers are pink?

16 flowers are pink

500
  1. Carly claims that multiplication always makes a number bigger.  He gave the following examples:

  • If I take 6, and I multiply it by 4, I get 24, which is bigger than 6.

  • If I take 14, and I multiply it by 2 (whole number), I get 24, or 12, which is bigger than 14.

Carly’s reasoning is incorrect.  Give an example that proves she is wrong, and explain her mistake using pictures, words, or numbers.

Answers will vary, basic premise is that multiplying by a fraction is going to get a piece of the factor being multiplied.