Question

If 2/3 of Mrs. Franck'sclass likes oatmeal and1/4 of Mrs. Donaldson'sclass likes oatmeal.What is the fractionamount of the classesthat like oatmeal?

Answer 1

From the given statement:

`\begin{gathered} \text{Fraction of Mrs Frank's class that likes oatmeal = }(2)/(3) \\ \text{Fraction of Mrs Donaldson's class that likes oatmeal = }(1)/(4) \end{gathered}`

To determine the fraction amount of the classes that like oatmeal, we add the fraction that likes oatmeal from each class.

`i\text{.e }(2)/(3)+(1)/(4)`

To add the fraction, the first step is to find the lowest common multiple (L.C.M) of the denominators.

L.C.M of 3 and 4 is 12

Therefore:

`\begin{gathered} \text{ }(2)/(3)+(1)/(4)=(2*4+1*3)/(12) \\ =(8+3)/(12) \\ =(11)/(12) \end{gathered}`

We can then say that the fraction amount of the classes that like oatmeal is 11/12.