Fractions as Quotients

Six children equally share 3 logs of clay to play with. Select the expression that shows how much clay each child would get.

• 3 ÷ 6

• 6 ÷ 2

• 2 ÷ 3

• 6 ÷ 3

How much clay does each child get when six children equally share 3 logs of clay?

• 1/2 log

• 1 log

• 1/3 log

• 2 logs

Which expression matches the scenario:

Six pizzas are shared equally among four people.

• 5 ÷ 4

• 7 ÷ 3

• 6 ÷ 4

• 3 ÷ 7

Which expression matches the scenario:

Eight bottles of water are shared among three friends.

• 5 ÷ 4

• 8 ÷ 3

• 6 ÷ 4

• 3 ÷ 8

Three children equally share 2 pints of apple juice. Select all the ways that show how the children can equally share the juice.

• 2 ÷ 3

• 3 ÷ 2

• 3 x 2

• 3/2

• 2/3

Two pans of lasagna are being shared equally among four friends. Which diagrams show how the two pans can be equally shared among the four friends?

• A

• B

• C

• D

• E

Draw a diagram showing 4 friends equally sharing 3 cookies.

Shade in how much each one gets.

Explain how the image is 5 divided by 4.

• There are 4 rectangles divided into 5 parts. One is shaded.

• There are 5 rectangles. Each one is divided into 4 parts. One of the 4 parts is shaded in each one.

• This is 5/4 because one part is shaded in each rectangle.

• There are 5 parts shaded. So this is 5 1/4.

Explain how the image shows 5 X 1/4.

• This is 5 1/4.

• There are 5 rectangles, and each is divided into 4 parts. So, this is 5/4.

• Each rectangle has 1/4 shaded. There are 5 rectangles. So, you would multiply 5 times 1/4.

• There are 4 rectangles, and each is divided into 5 parts. So you have 4 X 1/5

Tyler was at school for 6 hours yesterday. He spent 1/5 of that time doing math. How many hours did Tyler spend doing math yesterday? Explain your reasoning.

• Tyler spent 5/6 hours doing math, because 1/5 divided by 6 = 5/6.

• Tyler spent 6 1/5 hours doing math, because 6 + 1/5 = 6 1/5.

• Tyler spent 6 - 1/5 = 5 1/5 hours doing math, because 6/1/5 = 5 1/5.

• Tyler spent 6/5 or 1 1/5 hours doing math, because 6 X 1/5 = 6/1 X 1/5 = 6/5, which is 1 whole (5/5) and 1/5 more or 1 1/5.