The answer is:
Myrna can decorate
[tex]7\frac{7}{12}[/tex] dozens of cookies in [tex]2\frac{1}{3}[/tex] hours.
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!
