Question

A mural is 12 5/6 ft long and is divided into 7 equal length panels. how many ft long is each pannel?

Answer 1

Step-by-step explanation:

In the exercise we can see that it is a division of fractions because we need to know exactly how much length corresponds to each panel, for that we must divide the mixed fraction between the 7 panels.

Now to be able to do a correct division of fractions it is necessary that the mixed fraction becomes an improper fraction and the integer 7 must be converted into a fraction.

Now following the steps already mentioned, the exercise will be as follows:

`\begin{gathered} first\text{ convert }mixed\text{ fraction to improper:} \\ 12(5)/(6)=(77)/(6) \\ \text{Now }we\text{ must convert }the\text{ 7 to a fraction }for\text{ that we }add\text{ the numer 1 } \\ to\text{ the denominator }; \\ (7)/(1) \\ Now\text{ we can divide }both\text{ fractions} \\ (77)/(6)\colon(7)/(1);to\text{ divide the numerator is multiplied }witch\text{ the second denominator} \\ (77)/(6)*(7)/(1)=(77)/(42)=1.83\text{ }for\text{ each panel} \end{gathered}`