Division and Multiplication Fraction Word Problems

To unsimplify a fraction you use which operation?

• multiplication

• addition

• subraction

• division

• 5/24

• 1

• 0

• 1/4

Look at the picture and read the question. What operation would solve this problem?

• Addition

• Subtraction

• Multiplication

• Division

Answer explanation

The key word here is "of." If 1/3 of the students are in chorus, find 1/3 of 24.

Look at the picture and read the question. Which number shows the correct answer?

• 1

• 2

• 3

• 4

Answer explanation

$\frac{24}{1}\times\frac{1}{3}=\frac{24}{3}$ To multiply, put the 24 over 1 then multiply straight across. The final simplified answer would be 8 students because $\frac{24}{3}=24\div3$ and that equals 8!

What is the key word telling us to add, subtract, multiply, or divide in this one?

• "sold," subtract

• "of," multiply

• "of," divide

• "received," add

Answer explanation

In the problem, they use 2/3 "of them" meaning 2/3 of 366 jump ropes. Of usually means to multiply. It means divide if you don't know the total (ex. If 1/4 of the pizza was eaten and there are 6 slices left, how many slices were there to start with?)

Which answer is correct?

• 36623 jump ropes

• 122 jump ropes

• 244 jump ropes

• 732 jump ropes

Answer explanation

To solve  $\frac{366}{1}\times\frac{2}{3}\ =\frac{366\times2}{3\times1}=\frac{732}{3}$  multiply straight across to get the 732/3, then divide to get your final answer.

• Both

• Only one

Answer explanation

 $\frac{6\div2}{8\div2}=\frac{3}{4}$ 

What is the key word in this problem?

• "of," multiply

• "eat," subtract

• "all together," add

Answer explanation

We want to know Bonnie's slices + Noel's slices to find out how much they ate in all.

How would you solve this problem?

• add

• subtract

• multiply

• divide

Answer explanation

We should divide since we want to know how many times 1/4 goes into 8. The key word is "each" meaning that each bow uses the same amount of ribbon so the number of bows times 1/4 equals the total amount of ribbon. We don't know the number of bows so we divide the total amount to see how many 1/4 lengths will fit inside the 8 ft.

Which answer is correct?

• 1

• 2

• 3

• 4

Answer explanation

$\frac{8}{1}\div\frac{1}{4}=\frac{8}{1}\times\frac{4}{1}$

To solve, keep the first fraction (8/1), change the division to multiplication, and flip the 1/4 to its reciprocal (4/1). Multiply straight across to get 32 bows.