Multiplication and Division of Fractions

Multiply Fractions

100

2/3 X 4/5

What is 8/15

200

1/6 X 5

5/6

300

5/6 X 2/3

What is 10/18 or 5/9

400

8 X 3/13

24/13 or 1 and 11/13

500

5/6 X 3/5

What is 15/ 30 or 1/2

Scaling (Shrink or Grow)

100

To make a number smaller, you multiply by a fraction worth (more/less) than one whole?

less

200

To make a number bigger, you multiply by a fraction that is (more/less) than one whole?

more

300

125 x 1/2 =

Would the answer to this problem be worth more than 125, less than 125, or the same?

Less, because it is being multiplied by a fraction smaller than one whole.

400

1 2/5 X 2/3

Would the answer to this problem be worth more than 2/3, less than 2/3, or the same?

more than 2/3, because 2/3 is being multiplied by a fraction greater than one whole.

500

Select all answers with a value greater than 15,347.

A.) 15,347 x 1/2                          B.) 15,347 x 3/2

C.) 1 2/3 x 15,347                       C.) 15,347 x 1

B. and C.

Divide Fractions

100

7 divided by 1/2

14

200

4 divided by 1/3

12

300

1/4 divided by 7

What is 1/28

400

1/9 divided by 6

What is 1/54

500

8 divided by 1/3

Will the answer be a whole number, or fraction?

Whole number (24) because the dividend is a whole number

Word Problems

100

Write the division expression for this situation:

Shawn is using 7 feet of fence to make a playpen for his pup. He cuts the fence into 6 equal sized pieces. How long is each piece of the fence?

7 divided by 6

200

Greg is collecting bowls of soup from the table. Each bowl has 2/3 of a cup of soup inside. I Greg collects 7 bowls, how many cups of soup will he have collected?

14/3 or 4 and 2/3 of a cup

2/3 x 7

300

1/2 of a movie theater is wearing their masks. 3/5 of these people wearing masks are also wearing Crocs. What fraction of the whole theater is wearing masks and Crocs?

3/10

(1/2 x 3/5)

400

A sandwich shops uses 1/5 of a tomato to make 1 BLT sandwich. How many BLT sandwiches could be made with 6 whole tomatoes?

30 sandwiches

500

An old man wants to give 1/2 of his fortune away to his 6 grandkids equally. What fraction of the old man's entire fortune will each grandkid get?

1/12

(1/2 divided by 6)

Surprise

100

To multiply two fractions together you follow this process

multiply the tops together and multiply the bottoms together

200

To change from a mixed number to an improper fraction you would follow this process.

What is Multiply the bottom number time the whole number and then add the top number to that. Put your answer over the old bottom number

300

To change 4 into a fraction you would follow this process.

What is put a one below the 4

400

If your dividend is a unit fraction, and your divisor is a whole number, than your answer must be a...

unit fraction

500

The process you follow to change an improper fraction into a mixed number is this.

see how many times the bottom number will go into the top number. (that is your whole number) Then put the remainder over the original bottom number to make a fraction.