Question

Yesterday, Terrell's Snack Shack went through 1 3/8 bottles of ketchup. If they used 1/6 as much mustard as ketchup, how many bottles of mustard did they go through? Write your answer as a fraction or as a whole or mixed number.

Answer 1

We will investigate the application of mixed fractions with multiplication operator.

Terrell's snack shack consumes certain number of ketchup bottles:

`\text{Bottles ( ketchup ) = 1 }(3)/(8)`

The shack also consumes mustard. However, the number of bottles of mustard are expressed as fraction of the number of ketchup bottles consumed as follows:

`\begin{gathered} \text{Bottles ( mustard ) = }(Bottles(ketchup))/(6) \\ \\ \end{gathered}`

We can express the number of mustard bottles consumed as follows:

`\text{Bottles ( mustard ) = }\frac{1\text{ }(3)/(8)}{6}`

We will convert the mixed fraction in the numerator as improper fraction as follows:

`\text{Bottles ( mustard ) = }((11)/(8))/(6)`

Next convert the division operator into a multiplication operator by reciprocating the denominator as follows:

`\text{Bottles ( mustard ) = }(11)/(8)\cdot\text{ }(1)/(6)`

Now completely express the number or mustard bottles:

`\text{Bottles ( mustard ) = }(11)/(48)`