Question

Which question can be answered by finding 5 1/3÷1/3 ?

You have 5 1/3 feet of fabric and use 1/3 foot. How much fabric is remaining?

How much is 1/3 of a 5 1/3 -feet long piece of fabric?

How many 1/3 -foot long fabric pieces do you need to fill a pattern that is 5 1/3 feet long?

Answer 1

How many 1/3-foot-long fabric pieces do you need to fill a pattern that is 5 1/3 feet long?

Explanation:

The given expression:

• 
  `5(1)/(3)` ÷
  `(1)/(3)`

Converting
`5(1)/(3)` to an improper fraction:

• 
  `5(1)/(3) = (16)/(3)`

Now, the expression looks like this:

• 
  `(16)/(3)` ÷
  `(1)/(3)`

To solve this, we can flip the second fraction so that it is
`(3)/(1)`, then we can multiply.

• 
  `(16)/(3)` ×
  `(3)/(1)` (or 3) = 16

So, the answer to the expression is 16.

Looking at the choices, we can see that the 3rd answer best represents the equation. This is because if we take the question and turn it into an expression, it will look like this:

16 × (length of each piece) = (number of strips)

• 16 ×
  `(1)/(3)` =
  `(16)/(3)` or
  `5(1)/(3)`

Therefore, the last one is the correct answer.