Respuesta :
We will investigate the application of mixed fractions with multiplication operator.
Terrell's snack shack consumes certain number of ketchup bottles:
[tex]\text{Bottles ( ketchup ) = 1 }\frac{3}{8}[/tex]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:
[tex]\begin{gathered} \text{Bottles ( mustard ) = }\frac{Bottles(ketchup)}{6} \\ \\ \end{gathered}[/tex]We can express the number of mustard bottles consumed as follows:
[tex]\text{Bottles ( mustard ) = }\frac{1\text{ }\frac{3}{8}}{6}[/tex]We will convert the mixed fraction in the numerator as improper fraction as follows:
[tex]\text{Bottles ( mustard ) = }\frac{\frac{11}{8}}{6}[/tex]Next convert the division operator into a multiplication operator by reciprocating the denominator as follows:
[tex]\text{Bottles ( mustard ) = }\frac{11}{8}\cdot\text{ }\frac{1}{6}[/tex]Now completely express the number or mustard bottles:
[tex]\text{Bottles ( mustard ) = }\frac{11}{48}[/tex]