6.NS.1 Dividing Fractions

Bill is making bird houses to sell. Each bird house is built out of a 4/5 foot piece of lumber. On Monday, Bill used 12/5 feet of lumber.

How many bird houses did Bill make on Monday?

• 1

• 2

• 3

• 4

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Stephen is helping paint a mural that is 6 3/4 feet wide. Stephen is painting blocks that are each 1/4 feet wide.

How many total blocks could Stephen paint across the mural from one end to the other?
(a)    blocks

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 $\frac{2}{3}\div\frac{1}{6}$  

Given the expression above, which scenario can be solved by evaluating this expression?

• Ernest has walked  $\frac{2}{3}$   of the distance from his school to the library.  It takes him one minute to walk  $\frac{1}{6}$   of the distance.  How many minutes has it taken Ernest to walk from his school to his current location?

• Mark biked  $\frac{2}{3}$   as many kilometers as Stephen.  Stephen biked  $\frac{1}{6}$   of a kilometer.  How many kilometers did Mark bike?

• At at party, Virginia eats  $\frac{2}{3}$   of a pie with every helping.  So far, she has eaten  $\frac{1}{6}$   of the total pie available at the party.  How many pies are there total?

• A recipe calls for  $\frac{2}{3}$   cups of sugar.  Kurt is planning to make only  $\frac{1}{6}$   of the recipe.  How much sugar should he use?

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What is the correct amount of apple juice each person would receive if it was shared equally?

4 people share 2 $\frac{5}{6}$  quarts

•  $\frac{4}{9}$  qt.

• 5  $\frac{2}{3}$  qt.

•  $\frac{17}{24}$  qt.

•  $\frac{3}{10}$  qt.

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What is the correct amount of apple juice each person would receive if it was shared equally?

5 people share $\frac{3}{2}$  quarts

•  $\frac{4}{9}$  qt.

• 5  $\frac{2}{3}$  qt.

•  $\frac{17}{24}$  qt.

•  $\frac{3}{10}$  qt.

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What is the correct amount of apple juice each person would receive if it was shared equally?

3 people share 1 $\frac{1}{3}$  quarts

•  $\frac{4}{9}$  qt.

• 5 $\frac{2}{3}$  qt.

•  $\frac{17}{24}$  qt.

•  $\frac{3}{10}$  qt.

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Jaret wants to cut a board that is  $\frac{5}{8}$   meters long into as many  $\frac{1}{16}$   meter sections as possible.
 
How many sections will he obtain in all from the board?
(a)   sections

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Lilly has  $\frac{7}{8}$   of a gallon of water in her water jug. She only drinks  $\frac{1}{4}$   gallon of her water each day.
 
Which expression shows how many days Lilly's water will last?

•  $\frac{8}{7}\ \times\ \frac{4}{1}$  

•  $\frac{1}{4}\ \div\ \frac{7}{8}$  

•  $\frac{1}{4}\ \div\ \frac{8}{7}$  

•  $\frac{7}{8}\ \times\ \frac{4}{1}$  

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Four students plan to share breakfast foods equally. They have 1 $\frac{3}{4}$  quarts of orange juice and 6  $\frac{1}{2}$  cups of cereal. 

Each student will receive ______ quart(s) of orange juice

•  $\frac{3}{16}$  

•  $\frac{7}{16}$  

• 7

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Four students plan to share breakfast foods equally. They have 1 $\frac{3}{4}$  quarts of orange juice and 6  $\frac{1}{2}$   cups of cereal. 

Each student will receive _____ cups of cereal

•  $1\frac{4}{13}$  

•  $1\ \frac{1}{2}$  

•  $1\ \frac{5}{8}$  

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