It takes Myrna one hour to decorate 3 and 1/4 dozen cookies.How many dozen cookies can Myrna decorate in 2 and 1/3 hours?​

Hello!The answer is:Myrna can decorate[tex]7\frac{7}{12}[/tex] dozens of cookies in  [tex]2\frac{1}{3}[/tex] hours.Why?To solve this problem, we need to remember how to multiply mixed numbers, we can do it by the following way:- Covert the mixed numbers to improper fractions- Multiply the improper fractions- Convert the result to mixed number again.Also, we need to pay attetion to the given rate about Myrna's work.So,[tex]Rate=\frac{3\frac{1}{4}dozen}{hour}[/tex]Then, to calculate how many dozen of cookies can Myrna decorate in 2 and 1/3 hours, we need to write the following equation:[tex]Work=Rate*Time[/tex]We already know the Myrna's rate, so substituting it into the equation to know how many dozen of cookies she can decorate in 2 and 1/3 hours, we have:[tex]Work=(3\frac{1}{4})\frac{dozen}{hour} *(2\frac{1}{3})hour[/tex]Now, multiplying the mixed numbers we have:- First, converting to improper fractions:[tex](3\frac{1}{4})=3+\frac{1}{4}=\frac{12+1}{4}=\frac{13}{4}\\\\(2\frac{1}{3})=2+\frac{1}{3}=\frac{6+1}{3}=\frac{7}{3}[/tex]- Second, multiplying the fractions:[tex](\frac{13}{4})*(\frac{7}{3})=\frac{13*7}{7*3}=\frac{91}{12}[/tex]- Converting back to mixed number:[tex]\frac{91}{12}=7.58=7\frac{7}{12}[/tex]So, the answer is:Myrna can decorate [tex]7\frac{7}{12}[/tex] dozens of cookies in  [tex]2\frac{1}{3}[/tex] hours.Have a nice day!